Atkin-Lehner |
2- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9338j |
Isogeny class |
Conductor |
9338 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
434808356864 = 216 · 73 · 23 · 292 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -6 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2639,41209] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:301:1] [-26:317:1] |
Generators of the group modulo torsion |
j |
2032601155983217/434808356864 |
j-invariant |
L |
5.7003451697715 |
L(r)(E,1)/r! |
Ω |
0.88928495400691 |
Real period |
R |
0.26708467404472 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74704m1 84042w1 65366q1 |
Quadratic twists by: -4 -3 -7 |