Links to archives containing the software because GitHub often takes down copyright-infringing content. The Dangers of Using "Free" Pro Licenses
Burp Suite Professional is updated frequently to handle new web technologies and vulnerabilities. Cracked versions are often outdated and will miss critical bugs during your scans. Legitimate Ways to Get Burp Suite Professional
However, downloading "cracked" versions or "license activators" from random repositories is one of the most common ways security researchers get their own machines compromised. Why People Search for Burp Suite Pro on GitHub
This version is completely free and includes the essential manual tools (Proxy, Repeater, Intruder with limited speed, and Sequencer). It is more than enough for learning the basics of web hacking.
While PortSwigger doesn't have a permanent "student discount," many university cybersecurity programs provide licenses to their students. Check with your department.