Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576l |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
25540800768 = 28 · 37 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759,2378] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:56:1] |
Generators of the group modulo torsion |
j |
259108432/136857 |
j-invariant |
L |
5.1036633638349 |
L(r)(E,1)/r! |
Ω |
1.0456704221793 |
Real period |
R |
1.2201892813412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152q1 76608cn1 3192n1 67032bg1 |
Quadratic twists by: -4 8 -3 -7 |