Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408dd |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-17709468672 = -1 · 210 · 3 · 78 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-6693] |
[a1,a2,a3,a4,a6] |
j |
-16384/147 |
j-invariant |
L |
4.15842232356 |
L(r)(E,1)/r! |
Ω |
0.519802790445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408r1 2352p1 28224gp1 1344o1 |
Quadratic twists by: -4 8 -3 -7 |