Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698k |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
5.3265120357819E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11- 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21823199,-39091373691] |
[a1,a2,a3,a4,a6] |
Generators |
[-2689:13868:1] |
Generators of the group modulo torsion |
j |
648817971720191270353/3006677182316544 |
j-invariant |
L |
1.9838852067862 |
L(r)(E,1)/r! |
Ω |
0.069870050650054 |
Real period |
R |
0.70984820689573 |
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 |
50094ca1 1518n1 |
Quadratic twists by: -3 -11 |