Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698bo |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
1218180217659457536 = 225 · 34 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7490931,7890556257] |
[a1,a2,a3,a4,a6] |
Generators |
[846:46041:1] |
Generators of the group modulo torsion |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
9.1982689729345 |
L(r)(E,1)/r! |
Ω |
0.25354999808745 |
Real period |
R |
0.18138964784693 |
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 |
50094q1 1518i1 |
Quadratic twists by: -3 -11 |