Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
7752j |
Isogeny class |
Conductor |
7752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-992256 = -1 · 210 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-48] |
[a1,a2,a3,a4,a6] |
j |
-4/969 |
j-invariant |
L |
2.5419904580011 |
L(r)(E,1)/r! |
Ω |
1.2709952290006 |
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 |
15504b1 62016o1 23256a1 |
Quadratic twists by: -4 8 -3 |