Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824be |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
34314928128 = 214 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,-15662] |
[a1,a2,a3,a4,a6] |
j |
81182737/11492 |
j-invariant |
L |
3.2109208906151 |
L(r)(E,1)/r! |
Ω |
0.80273022265334 |
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 |
3978c1 127296du1 3536g1 |
Quadratic twists by: -4 8 -3 |