RAS Techniques and Instruments: The importance of measuring topological quantities, such as magnetic helicity, in solar observations has long been recognized. In particular, topological quantities play an important role in both understanding and predicting solar eruptions. In this paper, we present ARTop (Active Region Topology), a package that allows researchers to calculate the fluxes of topological quantities based on solar magnetograms. In addition to this, ARTop also allows for the efficient analysis of these quantities in both two-dimensional maps and time series. ARTop calculates the fluxes of magnetic helicity and magnetic winding, together with particular decompositions of these quantities. SHARP magnetograms are downloaded and velocity maps are created using the DAVE4VM method. These data are then used to determine the topological quantities. Analysis tools are included for the straightforward creation of maps and time series for any of the output variables, as well as other functions that are designed to aid solar flare investigations. This code offers researchers a powerful tool for investigating the behavior of active regions and the origins of space weather.