Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ba |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
5735155810627152 = 24 · 314 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105546,-12685169] |
[a1,a2,a3,a4,a6] |
Generators |
[52941:2309860:27] |
Generators of the group modulo torsion |
j |
94757435392/4179357 |
j-invariant |
L |
4.2087170661331 |
L(r)(E,1)/r! |
Ω |
0.26559623251323 |
Real period |
R |
7.9231490272586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864n1 30576v1 13104v1 |
Quadratic twists by: -4 -3 -7 |