Does the connection drop off when you're downloading or just all the time? How many files are you trying to download at once? Have you tried just downloading a single file at a time (not a huge one)? Do you lose internet connection too, or just connection to LW? How long does it take for the connection to die off from turbo?

Even if you were a freeloader, other people wouldn't be able to drop your LW connection! Tools > options > speed, tick 'disable ultrapeer capabilities' & apply.

Read through this & just make sure your firewall's configured properly
Connection problems? Check here first!

It would really help if you can find out the brand & model of your modem/router. Just in case it's a problem with your hardware.