Atkin-Lehner |
2- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70180i |
Isogeny class |
Conductor |
70180 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
836479799793440000 = 28 · 54 · 118 · 293 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-631781,187998919] |
[a1,a2,a3,a4,a6] |
Generators |
[-571:19050:1] [282:5687:1] |
Generators of the group modulo torsion |
j |
508209332224/15243125 |
j-invariant |
L |
6.6297058690484 |
L(r)(E,1)/r! |
Ω |
0.28058483464573 |
Real period |
R |
3.938028153117 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70180e1 |
Quadratic twists by: -11 |