You can install the Desktop program on 5 computers you own.
Since you now have to log into an Intuit Account when you first install it, all your downloads and licenses are listed there (even if you bought it from somewhere else) so if you need to install it again or install on another computer, even on the other operating system (Windows, Mac) you can download it again. And the download will have all the updates.
Sign onto your account here to download the program and to get the license code
https://accounts.intuit.com/app/account-manager/productsBilling/turbotax