How to change my droplet's reference when seen on a terminal

So, I just created a droplet. And I gave it a name. However, when I access that droplet though ssh it comes up with a great long name:

root@laravel-ubuntu-s-1vcpu-2gb-amd-lon1-01:~#

Now, when I have created droplets in the past, they would have been referenced like this:

root@‘my-website’

So - what have I done wrong, and can I chnage it ?

Many thanks !