If you had a time machine, you would go back to the time you originally installed the software and would save the downloaded installer. You would then make copies of this installer to keep in more than one location like all essential back up files should be kept. Then you would run the saved installer on your newly acquired lap top.
If you cannot find the downloaded installer, you will need to call customer service, provide proof of purchase and get a new download link. THIS TIME, save the installer in case you need to re-install in the future.
Note, While the license permits two installs, you cannot use both computers to access the same hosted database file at the same time.