Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576y |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-50136852528 = -1 · 24 · 311 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,330,-10523] |
[a1,a2,a3,a4,a6] |
j |
340736000/4298427 |
j-invariant |
L |
2.2123627253371 |
L(r)(E,1)/r! |
Ω |
0.55309068133427 |
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 |
19152p1 76608cl1 3192h1 67032cm1 |
Quadratic twists by: -4 8 -3 -7 |