Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450d |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.0647430472564E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165029442,-802998662284] |
[a1,a2,a3,a4,a6] |
Generators |
[-49599401872529:470908353945863:7335308807] |
Generators of the group modulo torsion |
j |
685429074513/12500000 |
j-invariant |
L |
4.0143184293077 |
L(r)(E,1)/r! |
Ω |
0.042168678091672 |
Real period |
R |
23.799171629983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54450dw2 10890bc2 54450dv2 |
Quadratic twists by: -3 5 -11 |