Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cv |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2774304000 = -1 · 28 · 33 · 53 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9136,335360] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-40:1] |
Generators of the group modulo torsion |
j |
-499008853769881/16416000 |
j-invariant |
L |
12.766369996336 |
L(r)(E,1)/r! |
Ω |
1.3390980457139 |
Real period |
R |
0.39723161792462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330br1 |
Quadratic twists by: 13 |