The prices given would value the company at 3.7-4.3 billion Swedish crowns ($444-516 million).
Eltel said it expects the first day of trading on Feb.6.
The value of the offering amounts to about 2.8-3.1 billion crowns and will provide the company of around 1.3 billion crowns before issue costs.
Eltel, owned by venture capital group 3i and BNP Paribas, is a provider of technical services to companies that own and operate infrastructure networks within power, communication, transport and defence.