Atkin-Lehner |
2- 3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320ck |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
38619648000 = 212 · 32 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-936,5364] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:102:1] |
Generators of the group modulo torsion |
j |
22164361129/9428625 |
j-invariant |
L |
7.1713992863076 |
L(r)(E,1)/r! |
Ω |
1.039999624284 |
Real period |
R |
1.7238946808593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7395b1 |
Quadratic twists by: -4 |