Does the Death Penalty Prevent crime?

Death penalty doesn't deter anything..I think tax payers should stop paying for them and we should bring back the prison farms and make prisoners WORK to earn their keep. Take away the TV . Take away the Air conditioning and take away the yard and weight lifting. Commit a death penalty worthy crime instead of death as a sentence our system should give a sentence of life of HARD prison work with no perks and they may deter criminals of all kinds. Besides the Death penalty cost a lot of money to maintain these guys to lay around for years and wait for death..At least if it was a prison farm the prisoners can 'earn their keep' and keep tax payers from earning it for them.