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When you are on the account summary page, you should see a listed of different transactions/balances. I think there are 3 and should all show $0.00 for you right now. That bottom number should be transactions since xx/xx date. It should also say the statement close date. My due date is 5 days before the next statement closes but I don't know if that it true every month. I don't remember seeing a due date before the statement closed. 20 days is a safe assumption.
Edit: Here. I logged in.
Looks similar to this:
Sometimes that doesn't show up right away before your first statement when opening a new account with AMEX
It's possible it won't show up until the system actually calculates a min amount due.
Happened with my new account that way a couple years ago.