Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
9408bo |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-125434905329664 = -1 · 215 · 313 · 74 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 1 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12479,45697] |
[a1,a2,a3,a4,a6] |
j |
2731405432/1594323 |
j-invariant |
L |
0.70984543150508 |
L(r)(E,1)/r! |
Ω |
0.35492271575254 |
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 |
9408cl1 4704z1 28224em1 9408cs1 |
Quadratic twists by: -4 8 -3 -7 |