Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562a |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
274299844 = 22 · 74 · 134 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 5 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,340] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
8281/4 |
j-invariant |
L |
4.8543519128456 |
L(r)(E,1)/r! |
Ω |
1.5478741327892 |
Real period |
R |
0.52269020781621 |
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 |
16562j1 16562ba1 |
Quadratic twists by: -7 13 |