edit-link-of-google-form.js

function dumpEditResponseUrlsForYourForm() {
   // Change this next line to use the id of your form
   var myFormId = "id";

   var form = FormApp.openById(myFormId); 
   var formResponses = form.getResponses();

   for (var i = 0; i < formResponses.length; i++) {
     var formResponse = formResponses[i];
     var string = "";
     if(formResponse.getRespondentEmail().length > 0) {
        string = string + "Email: ";
        string = string + formResponse.getRespondentEmail();
        string = string + "<br>";
        string = string + "Time: ";
        string = string + formResponse.getTimestamp();
        string = string + "<br>";
        string = string + "Edit Link: ";
        string = string + formResponse.getEditResponseUrl();
        string = string + "<br>";
        MailApp.sendEmail({
          to: formResponse.getRespondentEmail(),
          subject: "My Awesome Subject",
          htmlBody: string
        })
        Logger.log((i+1) + ' out of ' + formResponses.length + ' done');
     }
   }
}

You can run this script at https://script.google.com/