Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9594r |
Isogeny class |
Conductor |
9594 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
31454438082737904 = 24 · 317 · 135 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 3 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81734,-2822043] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:2241:1] |
Generators of the group modulo torsion |
j |
82832250843593497/43147377342576 |
j-invariant |
L |
5.2032328495002 |
L(r)(E,1)/r! |
Ω |
0.29899899593901 |
Real period |
R |
1.0876359369451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752bs1 3198a1 124722v1 |
Quadratic twists by: -4 -3 13 |