Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562d |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-79530724 = -1 · 22 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,40,-428] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-2:1] [9:20:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
4.8771769941153 |
L(r)(E,1)/r! |
Ω |
0.94866623649258 |
Real period |
R |
1.285272102691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
338a1 16562be1 |
Quadratic twists by: -7 13 |