Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56232i |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
1.0543294917049E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11+ -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1450452,456084308] |
[a1,a2,a3,a4,a6] |
Generators |
[-1127:25677:1] |
Generators of the group modulo torsion |
j |
1808282594853182464/564948501642261 |
j-invariant |
L |
7.4458578257792 |
L(r)(E,1)/r! |
Ω |
0.17430443248806 |
Real period |
R |
5.3396934026389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112464l1 18744a1 |
Quadratic twists by: -4 -3 |