Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468b |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
26203464820624 = 24 · 78 · 132 · 412 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11090,-372371] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:-2009:8] [651:16367:1] |
Generators of the group modulo torsion |
j |
1635510016/284089 |
j-invariant |
L |
9.6716319738647 |
L(r)(E,1)/r! |
Ω |
0.47074987470019 |
Real period |
R |
1.7120967514437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468x1 |
Quadratic twists by: -7 |