Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bh |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
107648000 = 210 · 53 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5613,-160003] |
[a1,a2,a3,a4,a6] |
Generators |
[61998:1008359:216] |
Generators of the group modulo torsion |
j |
152818608128/841 |
j-invariant |
L |
8.4927499323157 |
L(r)(E,1)/r! |
Ω |
0.55156219337393 |
Real period |
R |
7.6988144168786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400cq1 5800e1 46400bj1 |
Quadratic twists by: -4 8 5 |