Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408cx |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1124622098546688 = -1 · 214 · 35 · 710 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -3 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25611,-330093] |
[a1,a2,a3,a4,a6] |
j |
401408/243 |
j-invariant |
L |
1.4202032889994 |
L(r)(E,1)/r! |
Ω |
0.28404065779989 |
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 |
9408n1 2352m1 28224fr1 9408bq1 |
Quadratic twists by: -4 8 -3 -7 |