Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966cm |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
1136655440689104 = 24 · 315 · 7 · 294 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30434,-1235311] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:793:1] |
Generators of the group modulo torsion |
j |
6045996937/2204496 |
j-invariant |
L |
6.6853251043656 |
L(r)(E,1)/r! |
Ω |
0.37248675745207 |
Real period |
R |
1.121738717315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322s1 105966bb1 |
Quadratic twists by: -3 29 |