Atkin-Lehner |
2- 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cp |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3030662250000 = 24 · 33 · 56 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24512,-1468589] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:89:1] |
Generators of the group modulo torsion |
j |
60322534634083203/112246750000 |
j-invariant |
L |
11.705463975517 |
L(r)(E,1)/r! |
Ω |
0.38159686367065 |
Real period |
R |
1.2781228315674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810e1 |
Quadratic twists by: -3 |