Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344de |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
14760465408 = 210 · 38 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,1352] |
[a1,a2,a3,a4,a6] |
Generators |
[1:27:1] |
Generators of the group modulo torsion |
j |
16384/9 |
j-invariant |
L |
6.8673763411836 |
L(r)(E,1)/r! |
Ω |
1.084814376784 |
Real period |
R |
1.5826155335448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344gj1 6084p1 32448t1 97344dh1 |
Quadratic twists by: -4 8 -3 13 |