How to get the connection String from a database

Question

I want to use the database I generated with SQL Server Management Studio in my C# program. The connection string is what I require. Where is my database kept, and where can I get the connection string?

Is it in my papers somewhere, or do I have to publish it or something similar?

using (var conn = new SqlConnection("your connection string to the database"))

I want to get the connection string, but how? Where can I get the connection string that I need to copy and paste into the aforementioned section?

How can I make my database publishable so that Visual Studio can use it? The connection string can then be removed from there, right?