Unless the router has MAC filtering turned on, you shouldn't need to access it at all.
If you're in a crowded area (apartment/condo/duplex or closely built neighborhood), you might be getting wifi interference from your neighbors, and that would require changing the channel your router works on. But it should still be able to connect at the very least, even on a noisy channel (mine connected fine, but couldn't finish downloading an update, for instance. Kept timing out.)
If you really do have to get into the router, you might have to contact Verizon in order to do so.
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