Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
16562bc |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-50661071188 = -1 · 22 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 1 13- -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1765,29791] |
[a1,a2,a3,a4,a6] |
Generators |
[31:62:1] |
Generators of the group modulo torsion |
j |
-48013/4 |
j-invariant |
L |
8.1682400659244 |
L(r)(E,1)/r! |
Ω |
1.1027705098652 |
Real period |
R |
1.8517542845162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16562bv1 16562c1 |
Quadratic twists by: -7 13 |