DSL Keeps Timing Out!!!

Well for the last year I have been having problems with my DSL Internet, everyone once in a while (it accually happened when I was typing this post ), the internet will just go out, I will get no response and the internet light on my modem with go out, when it goes out it stays out for about 28 seconds, most of the time its about 28 seconds exactly but sometimes it can go out for 10 seconds and other times I can go out for a few mins.

I really don't know what to do, I got Verizon to send me a new modem, I replaced all my filters, and I replaced the phone line into the modem. I called Verizon but I can't recreate the problem for them so they won't send anyone out, last time I called them the girl on the line said it would be a good idea to send someone out then asked me if I had any other problems then hung up .

Do you guys have any ideas about what could be causing this?

 

yes I do have a router between it and it still happens even when my PC is connected directly to it.

and the rebooting thing does not help . right now I was trying to play l4d and it went out 5 times in 20 mins, then 2 more times after I stopped playing.

I went a week without it happening and it just started again out of the blue..