Atkin-Lehner |
2- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104468j |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
10913563024 = 24 · 74 · 132 · 412 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 1 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-702,-4871] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:13:1] [-12:41:1] |
Generators of the group modulo torsion |
j |
997335808/284089 |
j-invariant |
L |
7.7780183637689 |
L(r)(E,1)/r! |
Ω |
0.94748173917352 |
Real period |
R |
0.68409571409082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468m1 |
Quadratic twists by: -7 |