Starting point - would be to disconnect the wall station from the opener...
Depending on brand - it's usually the single pair (the photoeyes have 4 wires, the wall station will have just one pair). See if the problem goes away (and your remotes will work in the interim to open/close as usual).
The new Security+2.0 remotes - tend to cause issues mostly with OLD yellow learn button chamberlain (and craftsman) these are pre-photoeye openers. And some of the older stanley DIP switch openers, I've also seen one genie where it popped up. If it's come up - for this reason, it's probably time for an upgrade
On that same note -
http://www.homedepot.ca/product/cham...-opener/937038
239 for the whisper drive - with the internet gateway (ie cellphone command/control and alerts) is a smokin' deal. *cough* and I know a guy who can install it for ya too.