Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128by |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
23529565863936 = 214 · 311 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49899,4283930] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:2880:1] |
Generators of the group modulo torsion |
j |
4601630708137/7880004 |
j-invariant |
L |
7.8715809585708 |
L(r)(E,1)/r! |
Ω |
0.67502370512516 |
Real period |
R |
2.9152979722625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13266n1 35376p1 |
Quadratic twists by: -4 -3 |