Installing Premiere Elements on new PC laptop after 8 years

Check to see if the download file is still in your Amazon account.

In certain purchase situations, your Elements software will require a 24-digit alphanumeric REDEMPTION code to license the software. In others, you'll be given a 20-digit numeric SERIAL number.

Amazon purchase - If you purchased directly from Amazon, see instructions for retrieving your redemption code.

https://helpx.adobe.com/download-install/using/activate-elements.html

MODERN OPTIONS:
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Premiere Elements 2025 (3 year license, no subscription needed).
https://www.adobe.com/products/photoshop-elements.html

Hope that helps.

That number you have is an activation code, which was used to obtain the serial number from Adobe, and can only be used once to do that.

If you didn't save the serial number, you may be able to get it and the download file from your account from the download link given by kglad.

your serial number consists of 24 numbers (6 groups of 4), not 20 numbers.

and if you registered with adobe.com, you may be able to download the installation file in the account (https://account.adobe.com) use to register elements in 2017