No the police do not have the right to enter just because a landlord tells them they can. As a tenant you have a separate property interest in the premises and a separate expectation of privacy. Only you can consent to giving up those rights, not your landlord.
I agree with the previous poster. Your landlord's only right of entry is to give you 48 hours notice of intent to inspect, or if you invite the landlord to enter (e.g. to repair something). If the police want you to open your door and you do not choose to do so, the police cannot get the keys from your landlord.
Been to court on this one. Elizabeth Powell