How to alter the path of login page?
You can use module Rename Admin Paths


  This module allows you to:
  
  rename path like '/admin/...' to '/something/...' rename path like
  '/user/..' to '/something else/..' It can be effective against
  registration spam bots or malicious people.
  
  This small module just implements hook_outbound_alter and
  hook_inbound_alter to rename paths. A settings form allows to choose
  replacement term for "admin" and "user".