Atkin-Lehner |
2- 3- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
56232m |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
8606589209856 = 28 · 316 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11+ 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5556,74068] |
[a1,a2,a3,a4,a6] |
j |
101634915328/46117269 |
j-invariant |
L |
5.2659116616052 |
L(r)(E,1)/r! |
Ω |
0.65823895775982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464i1 18744c1 |
Quadratic twists by: -4 -3 |