it will take time for you to rebuild your reputation with your team (whether it's fair or not). whatever you've done to give them the impression that you aren't being productive will stick around for a while. you need to get honest feedback from your etl or tl about why you team feels that way. don't rely on a "source" that isn't your ETL, PTL, or PTMs. if you feel as though you are being seriously harassed, talk to hr.
your story could actually describe one of my tm. he felt the team was constantly picking on him because he wasn't productive. truthfully, he was depressed due to major life changes, and it impacted his work. he also never received the training he needed (the "book" way to pog vs. the "realistic" way to pog), so he was slower than the veterans. when i arrived, they were picking on him, bordering harassment, and the team was encouraged to do so by their team leader because the tl couldn't hold the tm accountable and wanted him to quit. i spoke with the tm on his collaboration and attitude and gave him very blunt feedback about pace and his peers. i also told him how the leadership team viewed him, as well as other workcenters. i spoke to the rest of the team as well about collaboration and my expectations. anyone caught being "rude" was coached. we kid around and give each other a hard time, but when it crosses a line, they will be written up. sometimes the tm did bring it upon himself because of his assumption the team was talking about him, or his rude responses in kind. either way, both parties were extremely sensitive around each other and rarely spoke. during our monthly chat, we spoke as a group and did a team building activity focusing on each others' strengths. i personally worked with the tm and we met biweekly to discuss how he was feeling and how the team was doing and worked on his training. rather than ignoring, i coached and made it a point for him to know that no one leaves my team unless it is for greener pastures. it took almost a year, a tm term, lots of tlc, and him hating me a good chunk of that time, but now he is one of the best tm on our team, and i'm very proud of him for making the decision to be proactive and change his outlook rather than making excuses. it is a very difficult thing to do.
on the other side, it's not fair for you not to talk to your tl like an adult. it is just as awful for you to go to the etl and bad mouth the tl as it is for them to smile at you working the boat. talk to them face to face about your issues. bring another tl/etl/stl/hr into the conversation if you are uncomfortable. let your tl know you realize you are viewed in this manner, but you want to ensure they realize all that you do. tell them you have not received the training you need to be successful, and you feel your peers are not being collaborative. i would personally speak with the etl first, and ask that when you are done the tl be brought into the office with the conversation if it's serious. however, gossip is gossip, and it will not help your situation.