I had the same problem. The page is blank because the log request error is not managed by the interface. It means that if the log request gets an error response, this error is not displayed on the page. To see the error, I had to open the web inspector of the navigator (in Safari, you need to enable "Develop menu" in "Preferences" / "Advanced"). In web inspector, go to the network tab, it displays one line per request. Refresh the page, and at the end of the network tab there is the "log" request, in red if there is an error. Click on the "log" request in red, then the detail of the error is diplayed. For example in my case :
...
{errors: [{id: "*************", status: "401", code: "NOT_AUTHORIZED.NO_ACCESS",…}]}
"This Apple ID is not associated with any active account, so it cannot access this system."
...
So you can see if the problem is a wrong password, a wrong account or (in my case) an Apple ID not associated with an active dev account.
(I solved in my case by using the right Apple account ...).
Hope it will help.