Do you have access to your old computer? Or at least the old hard drive that had Impulse on it? If so, you can go to C:\Documents and Settings\USERNAME\Application Data\Stardock\Impulse
Change "USERNAME" to your user name for the computer in the above example.
Look for RegistrationsCache.xml in the folder. Right click it and select "Edit".
You'll see some software registration info in there and your email associated with Impulse will be listed. You can use that to have Stardock send your login to you.