Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408u |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-806887666368 = -1 · 26 · 37 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 -1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1143,-46089] |
[a1,a2,a3,a4,a6] |
j |
-448000/2187 |
j-invariant |
L |
2.5973152006083 |
L(r)(E,1)/r! |
Ω |
0.37104502865833 |
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 |
9408a1 4704a1 28224w1 9408f1 |
Quadratic twists by: -4 8 -3 -7 |