Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562b |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
300961617673697344 = 26 · 78 · 138 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ -3 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1051860,414298770] |
[a1,a2,a3,a4,a6] |
Generators |
[537:1823:1] |
Generators of the group modulo torsion |
j |
27369433/64 |
j-invariant |
L |
2.9333248409817 |
L(r)(E,1)/r! |
Ω |
0.30763854297363 |
Real period |
R |
4.7674859148472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16562l1 16562bb1 |
Quadratic twists by: -7 13 |