Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852o |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-4314418094430576 = -1 · 24 · 34 · 112 · 317 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21462,-3391191] |
[a1,a2,a3,a4,a6] |
Generators |
[258:2883:1] |
Generators of the group modulo torsion |
j |
-76995328/303831 |
j-invariant |
L |
5.7027717834492 |
L(r)(E,1)/r! |
Ω |
0.18007937484579 |
Real period |
R |
0.3298760475313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4092b1 |
Quadratic twists by: -31 |