Atkin-Lehner |
2- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400cq |
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 |
[-82:275:1] [7:348:1] |
Generators of the group modulo torsion |
j |
152818608128/841 |
j-invariant |
L |
6.4547033497627 |
L(r)(E,1)/r! |
Ω |
1.6694663791579 |
Real period |
R |
1.9331636235221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400bh1 11600i1 46400co1 |
Quadratic twists by: -4 8 5 |