It is standard to use a colon after the main title ("L.A. Noire") to introduce the subtitle ("The Complete Edition").
"L.A." should always have periods as it stands for Los Angeles.
Be careful when searching for "free downloads" of paid games. Sites offering the full version of L.A. Noire for free are often unofficial and can host malware. For a safe and legal version, you can find the game on official stores like Steam, the Rockstar Games Store , or the PlayStation Store.
If you are looking for the correct way to write or capitalize that title, the standard "proper" text is: Quick Tips: