Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bl |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
141915724704 = 25 · 37 · 134 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 -4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6172,-188323] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:49:1] |
Generators of the group modulo torsion |
j |
910400427313/4968864 |
j-invariant |
L |
5.925262294687 |
L(r)(E,1)/r! |
Ω |
0.53880972114084 |
Real period |
R |
0.73312984299721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994h1 |
Quadratic twists by: 13 |