The paper presents three experimental platforms for legal analytics, online environments integrating heterogeneous computational heuristics, information processing, and visualization techniques to extract actionable knowledge from legal data. Our goal is to explore innovative approaches to issues spanning from information retrieval to the quantitative analysis of legal corpora or to the study of criminal organizations for research and investigative purposes. After a brief introduction to the e-science paradigm and to the role played in it by research platforms, we focus on visual analytics as a viable way to interact with legal data. We then present the tools, their main features and the results so far obtained. The paper ends up with some considerations about the computational turn of science and its role in promoting a much needed interdisciplinary and empirical evolution of legal research.