Your license key lives in your account at artifexrouting.com, under Account → License Keys.
To retrieve it, log in to your account at artifexrouting.com with the email and password you used at purchase, then open the License Keys (or Purchases) area. Each Coupon Creator Pro purchase lists its license key along with its status, expiration date, and the sites it is activated on. Copy the key exactly as shown.
Your key also appears in the purchase-receipt email sent when you bought the plugin, so you can copy it from there if you prefer.
Once you have the key, see Add your license key to enter it in WordPress and Activate your license to turn on updates.
If you cannot log in, use the password-reset link on the sign-in page, or contact support (see What support you can expect).