Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408cz |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-361417728 = -1 · 210 · 3 · 76 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,131,755] |
[a1,a2,a3,a4,a6] |
j |
2048/3 |
j-invariant |
L |
2.3054122006173 |
L(r)(E,1)/r! |
Ω |
1.1527061003087 |
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 |
9408q1 2352c1 28224fv1 192d1 |
Quadratic twists by: -4 8 -3 -7 |