Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592be |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
1201283531031993552 = 24 · 324 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-856560,-300538717] |
[a1,a2,a3,a4,a6] |
j |
5958673237147648000/102990700534293 |
j-invariant |
L |
0.94257681497317 |
L(r)(E,1)/r! |
Ω |
0.15709613582886 |
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 |
5148e1 82368em1 6864p1 |
Quadratic twists by: -4 8 -3 |