Torrenting sucks up bandwidth like no other, doesn't matter how fast you're downloading/uploading.
Besides that, I'd call Verizon. I had a problem with speeds and random disconnections once with my cable internet, and it turned out to be that the signal strength was very low. Turned out there was a bad cable somewhere in the area.
(By the way, for the future, you'll get much better torrent speeds if you upload some. It's just how torrenting works, you've gotta give to get)