Downloading Creative Cloud on a New Computer

I was just wondering if I could download creative cloud onto my new laptop without having to purchase it again. I have it still downloaded on my old laptop, but I got this new one so I could use it for the adobe apps and hopefully it will run a bit better than on my older laptop. I am paying for a monthly subscription with a student discount through my campus, but I was hoping I could just download Creative Cloud and download the apps on my new computer without having to purchase it again. Please let me know as soon as possible because I have a final due soon for my art class that includes us using in design. Thank you!