Celestron Illuminator -thread size?

I have a JMI polar scope and the LED unit broke. So I ordered a new unit, but have found out its backordered for quite some time.

Does anyone happen to know the thread sizes of the Celestron illuminator? The silver one with the on/off /dimmer knob. . .

Any other recomendations for a replacement? I kinda want something permanant so i don't have to mess around with a flashlight or have the hole open.

Thanks!
Jeff