Welcome to the GMB and what an interesting piece to start with. Swedish Glass Factories by Helmut Ricke show an LF1, LF2 (both seagulls), LF3 (penguin), LF4 (crane), and LF7 (Magpie) in the 1955-6 catalogue. The crane is described as pale green with a red head, and is shown on what looks a square wooden base, rather than the glass base yours appears to be on. The Kosta catalogues end at 1962-3, so I wonder if your crane is a later addition. The height in the catalogue is given as 360 cm, taller than your one.
Some pictures against a plain background and pictures of the base with the signature would help.
There are some posts for help with photographs if you do a search.