Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456by |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1509974784 = 28 · 38 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 2 0 4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,1298] |
[a1,a2,a3,a4,a6] |
Generators |
[2:279:8] |
Generators of the group modulo torsion |
j |
20720464/8091 |
j-invariant |
L |
8.8655571122123 |
L(r)(E,1)/r! |
Ω |
1.3733604695166 |
Real period |
R |
3.2276876127003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999568554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32364m1 43152r1 |
Quadratic twists by: -4 -3 |