How can I wire this LED self-locking button?

[Romano]

I have secondary router that I use sometimes it has a built in switch but I want to be able to turn off or on the router from my desk, so I bought this button:

 

https://www.ebay.com/itm/19mm-self-locking-metal-button-switch-power-source-5A-current-SPECIAL-LISTING/302738612455?hash=item467ca0a0e7:m:m90L3ewUN8iKY3v2gROjdaw with this socket:

 

https://www.ebay.com/itm/5-Pin-Wire-Connector-Wiring-Socket-Plug-Adapter-For-16-19mm-Push-Button-Switch/272884697047?ssPageName=STRK%3AMEBIDX%3AIT&var=572052811851&_trksid=p2057872.m2749.l2649

 

but I have no idea how to wire it, anyone has experience with those? here's a diagram of what I want:

 

[W-L]

1 hour ago, Romano said:

-SNIP-

I'd recommend to get a 12V switch and to wire it though the DC side especially if you are not familiar with AC wiring. What you will need to do for the DC side is to split the positive line and splice in the switch so it connects via the common and NO (normally open) connection, meaning it will not turn on until pressed.