  In this proceeding, we illustrate the applicability of a new parameterization
of the S-wave amplitude on the example of the $\pi\pi \to \pi\pi$ and $\pi K
\to \pi K $ lattice data ($m_\pi \sim 240$ MeV) from the HadSpec collaboration.
The applied parameterization follows from the dispersive representation for the
inverse scattering amplitude. The left-hand cut contribution is parametrized by
the series in a suitably constructed conformal variable. The crucial input in
the analysis is the Adler zero, whose position we extracted from the chiral
perturbation theory at next-to-leading order with the uncertainties propagated
from the low-energy constants.
