Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_51684 ( "Debut year" real, "Player" text, "Date of birth" text, "Games" real, "Goals" real, "Years at club" text )

### Question ###
What is the birthday of the player who has Years at Club of 1951?

### Accurate SQL ###

SELECT "Date of birth" FROM table_51684 WHERE "Years at club" = '1951'