Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456bd |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-39286579660692336 = -1 · 24 · 36 · 76 · 315 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 2 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45848,8771069] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:2883:1] |
Generators of the group modulo torsion |
j |
5661965297408/20870651079 |
j-invariant |
L |
6.4961885628679 |
L(r)(E,1)/r! |
Ω |
0.25851568218138 |
Real period |
R |
0.41881331324867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72912h1 109368z1 744d1 |
Quadratic twists by: -4 -3 -7 |