This is a network setup or provider problem. You do not "connect to the Internet through aol." You connect through your dsl provider's modem. AOL might be your email provider or just a site on the Internet, but you no longer use dialup and don't have to have aol as your startup page. I suspect you have the wrong settings in Internet Options, Connections. Make sure "Never dial a connection" is selected and there are no telephone numbers or dialup connection in the list. Your dsl modem does not dial the telephone modem. Remove any connection setting you have on that page and do not connect using an AOL icon. You turn on your computer, start your browser and you are connected to the Internet.

4th try

You should be getting free help from Verizon. Contact them again or at least use their web site to get the setup instructions you need. Verizon should help you set up your dsl connection properly. The Verizon dsl modem should be connected to your computer's network card with ethernet cable. Check to make sure all the correct cables are seated securely and connected in the right order.