Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912dg |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-6073958996239712256 = -1 · 219 · 33 · 712 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,57608,118474964] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:9408:1] |
Generators of the group modulo torsion |
j |
43874924183/12604443264 |
j-invariant |
L |
6.191425010057 |
L(r)(E,1)/r! |
Ω |
0.18514376300724 |
Real period |
R |
1.3933822988715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9114d1 10416q1 |
Quadratic twists by: -4 -7 |