Atkin-Lehner |
2+ 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
27192a |
Isogeny class |
Conductor |
27192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
163152 = 24 · 32 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3399,-77418] |
[a1,a2,a3,a4,a6] |
Generators |
[-803738334:-632568:23639903] |
Generators of the group modulo torsion |
j |
271509473892352/10197 |
j-invariant |
L |
6.7336863899405 |
L(r)(E,1)/r! |
Ω |
0.62524628132629 |
Real period |
R |
10.769654440258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54384a1 81576k1 |
Quadratic twists by: -4 -3 |