At database of your local can change the value if store table.
change value of column Url as "http://localhost:15536/" if it contain live site address.
change value of column SslEnable False, If it contain true.
In table "Store", I changed just column "SslEnable" from True to False, and now the link browses the login page of the local site as needed.
(I did not need to change column "Url")
(I was not able to do it from admin, because I couldn't get logged in locally)