Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8496w |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-92365419184128 = -1 · 231 · 36 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 3 1 3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7989,-371846] |
[a1,a2,a3,a4,a6] |
j |
18884848247/30932992 |
j-invariant |
L |
2.5380496747515 |
L(r)(E,1)/r! |
Ω |
0.31725620934393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1062i1 33984bn1 944g1 |
Quadratic twists by: -4 8 -3 |