Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42826w |
Isogeny class |
Conductor |
42826 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
5360895982736 = 24 · 79 · 192 · 23 |
Discriminant |
Eigenvalues |
2- -2 2 7- 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6812,184960] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:478:1] |
Generators of the group modulo torsion |
j |
297141543217/45566864 |
j-invariant |
L |
7.285741329726 |
L(r)(E,1)/r! |
Ω |
0.73139012418946 |
Real period |
R |
2.4903745240611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6118h1 |
Quadratic twists by: -7 |