How to Get Customer Detail Using Email Id in Magento

$customer = Mage::getModel("customer/customer");

$customer->setWebsiteId(Mage::app()->getWebsite()->getId()); 

$customer->loadByEmail($customer_email);
//get customer id

$customerId = $customer->getId();

//get customer Email

$customerEmail = $customer->getEmail ();

//get customer First Name
$fname = $customer->getFirstname();
//get customer Last Name
$lname = $customer->getLastname();
//get customer Full Name
$fullname = $customer->getName();