Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82524n |
Isogeny class |
Conductor |
82524 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
6915456 |
Modular degree for the optimal curve |
Δ |
-3.9318067498919E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51024342,-140303301759] |
[a1,a2,a3,a4,a6] |
Generators |
[23778:3477201:1] |
Generators of the group modulo torsion |
j |
-22164483549952/59319 |
j-invariant |
L |
5.591278662829 |
L(r)(E,1)/r! |
Ω |
0.028243930578156 |
Real period |
R |
7.3319963177945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82524m1 |
Quadratic twists by: -23 |