Thank you very much to all of you !
I think it must be a Norfolk pine tree. I am not quite sure about the Cook pine, as when I google it to find images it looks like it has a much more dense foliage than the Norfolk's. I really like its shape, it remotely reminds me of the agave flower growing until it slowly falls to death.
I am new to this site and from what I see I think it will be a useful tool to further develop my knowledge of botanic as it is slowly growing in a major interest.