I believe that it is tied to your Adobe login (I'm taking a shot in the dark). Under the help menu in the Presenter tab, you may see a deactivate or logout option, which should make it so that installation is un-registered. Then you should be able to install it on the new computer.
You may also be able to have it installed twice without deactivating it, but you may need to look at your User Agreement from the subscription purchase to verify that.
Many thanks Jorma
When I've got the new computer I'll try this.