A tethered plastic screw stopper, comprising: a closure shell; a tamper band separably connected to the closure shell by a plurality of bridges (112,116), namely a plurality of top bridges that form a top weakness line and a plurality of bottom bridges that form a bottom weakness line, that connect a bottom edge of the closure shell to a top edge of the tamper band, each of the bridges (112,116) configured to be stretched and broken when the closure shell is moved from a first orientation prior to opening to a second orientation after opening; a strip connected to the closure shell at a junction point, the strip comprising an extremity at an end of the top weakness line, the extremity linking the strip with the closure shell at the junction point; and a hinge linking the strip and the tamper band, the hinge being positioned beneath a set of bridges located along the top weakness line; wherein considering a clockwise screwing motion stopper configuration, the end of the top weakness line located to the left of the hinge of the stopper is located over a bottom bridge of the bottom weakness line located at the nearest from the hinge relative to the clockwise screwing direction; the strip is a first strip, the screw stopper further comprises a second strip having an extremity at the other end of the top weakness line, linking the second strip with the closure shell at a second junction point, a second hinge linking the second strip and the tamper band, the second hinge being positioned beneath a second set of bridges located along the top weakness line, wherein the second strip is positioned opposite the first strip about a diameter of the tamper band, and the first strip and the second strip are separably connected to the closure shell through the top weakness line and to the tamper band through the bottom weakness line characterized in that the top weakness line is asymmetric relative to the bottom weakness line which is symmetric relative to a vertical plane crossing a diameter of the stopper. a closure shell; a tamper band separably connected to the closure shell by a plurality of bridges (112,116), namely a plurality of top bridges that form a top weakness line and a plurality of bottom bridges that form a bottom weakness line, that connect a bottom edge of the closure shell to a top edge of the tamper band, each of the bridges (112,116) configured to be stretched and broken when the closure shell is moved from a first orientation prior to opening to a second orientation after opening; a strip connected to the closure shell at a junction point, the strip comprising an extremity at an end of the top weakness line, the extremity linking the strip with the closure shell at the junction point; and a hinge linking the strip and the tamper band, the hinge being positioned beneath a set of bridges located along the top weakness line; wherein considering a clockwise screwing motion stopper configuration, the end of the top weakness line located to the left of the hinge of the stopper is located over a bottom bridge of the bottom weakness line located at the nearest from the hinge relative to the clockwise screwing direction; the strip is a first strip, the screw stopper further comprises a second strip having an extremity at the other end of the top weakness line, linking the second strip with the closure shell at a second junction point, a second hinge linking the second strip and the tamper band, the second hinge being positioned beneath a second set of bridges located along the top weakness line, wherein the second strip is positioned opposite the first strip about a diameter of the tamper band, and the first strip and the second strip are separably connected to the closure shell through the top weakness line and to the tamper band through the bottom weakness line characterized in that the top weakness line is asymmetric relative to the bottom weakness line which is symmetric relative to a vertical plane crossing a diameter of the stopper.