You cannot ask Torrent Trackers or the providers of Torrent Clients to block as they essentially cannot do so due to the nature of BitTorrent. What you can do though is prevent people from seeding Torrents if they are within the jurisdiction of the Court. Matthew surmised (and I agreed) that as AMP is not a celebrity (or in any way famous) anyone sharing the images was likely to know her personally either from her circle of acquaintances at home (ex school colleagues etc) or from University. These people would be based in the UK (England & Wales) and would be the key to seeding the Torrent. Take out the key Seeders and the Torrent would pretty much wither on the vine.
Update: The judgement is now available on Bailii.