Stock wiring harness, or aftermarket?
In a stock, or Painless wiring harness, the green with red stripe wire at the regulator should have zero voltage on it when the key is in the OFF position. And 12 V when the key is in the ON position.
But you said “the engine not running” instead. Does that mean the key was on? If so, then it’s normal and it is exactly why you never leave the key on.
If the key was off, and the engine was off, then as was mentioned previously, something is amiss.