Atkin-Lehner |
3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627n |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
90922601133 = 32 · 7 · 137 · 23 |
Discriminant |
Eigenvalues |
2 3+ 0 7- 3 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1408,-13791] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:503:8] |
Generators of the group modulo torsion |
j |
64000000/18837 |
j-invariant |
L |
11.961975354287 |
L(r)(E,1)/r! |
Ω |
0.79695775072406 |
Real period |
R |
1.8761934587685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279a1 |
Quadratic twists by: 13 |