TisB is a short amphiphilic alpha-helical peptide from Escherichia coli that induces a breakdown of the pH gradient across the inner membrane when the bacteria are under stress and require to form persister cells to turn into a biofilm. A computational-experimental approach combining all-atom and coarse-grained molecular dynamics simulation with circular dichroism spectroscopy and gel electrophoresis was used to reveal its structure and oligomeric assembly in a phospholipid bilayer. TisB is found to be inserted upright in the membrane as a tetrameric bundle with a left-handed sense of supercoiling, best described as an antiparallel dimer-of-dimers. The tetramer is stabilized by means of a regular but dynamically interchanging pattern of salt bridges and hydrogen bonds, in accordance with the recently proposed "charge-zipper" motif.