Digital contact tracing is used in different countries to help contain the COVID-19 pandemic. It raises challenging empirical and ethical questions due to its complexity and widespread effects calling for a broader approach in ethical evaluation. However, existing approaches often fail to include all relevant value perspectives or lack reference to empirical data on the artifact in question. In this paper, we describe the development of an interdisciplinary framework to analyze digital contact tracing from an empirical and ethical perspective. Starting with an analysis of methodological tensions in the attempt to analyze digital contact tracing, we, firstly, set out three methodological premises regarding (a) a specific view of technology, (b) a fruitful normative perspective, and (c) ways to gather empirical knowledge about the object under investigation. Secondly, we inspect consequences of these premises to develop our research methodology. In doing so, we argue for a postphenomenological perspective on technology, solidarity as an important concept to guide the ethical perspective, and an empirical approach based on qualitative social science research and the concept of affordances. We illustrate these considerations by referring to our analysis of the German Corona-Warn-App as an instance of contact tracing based on the Exposure Notification Framework by Google and Apple. We then discuss the implications of using such a framework, including considerations concerning future developments of technologies similar to or inspired by the current concepts of contact tracing.