Atkin-Lehner |
2+ 3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74646g |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-968158228257792 = -1 · 210 · 313 · 112 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1836,-1496880] |
[a1,a2,a3,a4,a6] |
Generators |
[133:707:1] [153:1260:1] |
Generators of the group modulo torsion |
j |
-939176600257/1328063413248 |
j-invariant |
L |
8.0041938485795 |
L(r)(E,1)/r! |
Ω |
0.2238034111972 |
Real period |
R |
4.4705495136878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24882bl1 |
Quadratic twists by: -3 |