Don't forget to adapt /home/user/shared to your scenario. It is the place where your NTFS partition is mounted. Please note that the directory you specify must exist already, if not create it. It can be anywhere, but in the home folder it is easily accessible. So if your username is "bart", a good location would be /home/bart/ntfs:
sudo mkdir /home/bart/ntfs
As you are saying you use an auto mount, you probably have a fixed location already (so the above command is unneccesary).
Creating a trash, GUI method
You can do this in GUI by adding uid=1000 to the options just above mount point. Don't forget the comma :). Do a reboot to let this take effect.
Creating a trash, CLI method
Open /etc/fstab with an editor, for example gedit:
sudo gedit /etc/fstab
Now add the option "uid=1000" to the NTFS mount line (something like this):
/dev/sda3 /home/user/shared ntfs defaults,uid=1000,noatime 0 0
This will make you the owner and should create a .Trash-1000 folder where deleted files will be placed.
Once you have saved the fstab file, umount and remount the partition (or reboot your computer):
sudo umount /dev/sda3 && sudo mount -a