Atkin-Lehner |
2- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400cr |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-38010880000 = -1 · 221 · 54 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,767,4863] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:9:1] [-1:64:1] |
Generators of the group modulo torsion |
j |
304175/232 |
j-invariant |
L |
5.8103792349601 |
L(r)(E,1)/r! |
Ω |
0.73864790627042 |
Real period |
R |
1.9665591635868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400bi1 11600bb1 46400cc1 |
Quadratic twists by: -4 8 5 |