Atkin-Lehner |
2- 3- 11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526y |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-3041836040064096 = -1 · 25 · 39 · 113 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11+ 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2821,-2653621] |
[a1,a2,a3,a4,a6] |
Generators |
[399:7666:1] |
Generators of the group modulo torsion |
j |
3406824508823/4172614595424 |
j-invariant |
L |
9.2484959074873 |
L(r)(E,1)/r! |
Ω |
0.20952395030859 |
Real period |
R |
0.7356753161371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28842g1 |
Quadratic twists by: -3 |