  We set constraints on the trilinear Higgs boson self-coupling, $\lambda_3$,
by combining the information coming from the $W$ mass and leptonic effective
Weinberg angle, electroweak precision observables, with the single Higgs boson
analyses targeting the $\gamma \gamma,\, ZZ^*,\, WW^*, \,\tau^+ \tau^-$ and
$\bar{b} b$ decay channels and the double Higgs boson analyses in the
$b\bar{b}b\bar{b}, \, b\bar{b}b \tau^+ \tau^-$ and $b\bar{b}b \gamma \gamma$
decay channels, performed by the ATLAS collaboration. With the assumption that
the new physics affects only the Higgs potential, values outside the interval $
-1.8\, \lambda_3^{\rm SM} < \lambda_3 < 9.2 \, \lambda_3^{\rm SM}$ are excluded
at $95\%$ confidence level. With respect to similar analyses that do not
include the information coming from the electroweak precision observables our
analysis shows a stronger constraint on both positive and negative values of
$\lambda_3$.
