Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824w |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
20953266388992 = 228 · 33 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10088,318516] |
[a1,a2,a3,a4,a6] |
j |
27721838859625/5115543552 |
j-invariant |
L |
3.8885537068437 |
L(r)(E,1)/r! |
Ω |
0.64809228447395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2478a1 79296bn1 59472bk1 |
Quadratic twists by: -4 8 -3 |