Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456g |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
235282940928 = 210 · 32 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3152,65052] |
[a1,a2,a3,a4,a6] |
Generators |
[58:272:1] |
Generators of the group modulo torsion |
j |
28756228/1953 |
j-invariant |
L |
5.9040228636877 |
L(r)(E,1)/r! |
Ω |
0.9719866702741 |
Real period |
R |
3.0370904479705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912t1 109368ca1 5208f1 |
Quadratic twists by: -4 -3 -7 |