How to find Photoshop Elements 13 serial number?

So my computer is dead now with my photoshop in it, so I bought a new computer and I still have my Photoshop Element disk.I tried to install it to my computer but its asking me for a serial number but I dont know it,its been years.I thought signing in adobe would remeber me purchasing it and I can install it on my new PC.Is there a way to receive it?