Sodium dodecyl sulfate (SDS) is a well-known anionic detergent widely used in both experimental and theoretical investigations. Many molecular dynamics (MD) simulation have been performed on the SDS molecule at coarse-grained (CG), united-atom (UA), and all-atom (AA) resolutions. However, these simulations are usually based on general parameters determined from large sets of molecules, and as a result, peculiar molecular specificities are often poorly represented. In addition, the parameters (ideal bond lengths, angles, dihedrals and charge distribution) differ according to the resolution, highlighting a lack of coherence. We therefore propose a new set of parameters for CG, UA, and AA resolutions based on a high quantum mechanics (QM) level optimization of the detergent structure and the charge distribution. For the first time, QM-optimized parameters were directly applied to build the AA, UA, and CG model of the SDS molecule, leading to a more coherent description. As a test case, MD simulations were then performed on SDS preformed micelles as previous experimental and theoretical investigations allow direct comparison with our new sets of parameters. While all three models yield similar macromolecular properties (size, shape, and accessible surface) perfectly matching previous results, the attribution of more coherent parameters to SDS enables the description of the specific interactions inside and outside the micelle. These more consistent parameters can now be used to accurately describe new multi-scale systems involving the SDS molecule.