No, University of Leeds is not "prestigious". It is just a "top" university.
In the UK, only about 11 universities can claim to have enough prestige to be regarded as prestigious.
They are: Cambridge, Oxford, LSE, Imperial, UCL, KCL, Edinburgh, Durham, St Andrews, Bristol and Warwick.
Leeds is in the bracket of Top universities below these, along with Manchester, Nottingham, Birmingham, Glasgow and a few others. They are top universities but not ones to be seen as "prestigious".