Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576s |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
795823056 = 24 · 39 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22734,-1319355] |
[a1,a2,a3,a4,a6] |
j |
4126102419456/2527 |
j-invariant |
L |
3.1104311580377 |
L(r)(E,1)/r! |
Ω |
0.38880389475471 |
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 |
19152c1 76608q1 9576f1 67032bk1 |
Quadratic twists by: -4 8 -3 -7 |