The first thing to try will be add more numbers to the dial up list. You have 2 at present, if your using a BT line you should be able to select several more. (Think I had about 7)
Log on and go to keyword Best number, the AOL software should search for a list and install them in your dial up properties for you to try out on logging in again. You can access the list and set the order of the numbers to be used, find the best 2 or 3 that will give you a connection each time. If this doesn't solve the problem then please post back to this thread and someone using AOL will advise further.