Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400ci |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-7424000000 = -1 · 214 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 -1 -3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-483100,129242000] |
[a1,a2,a3,a4,a6] |
Generators |
[1668:269504:27] |
Generators of the group modulo torsion |
j |
-48707390098512/29 |
j-invariant |
L |
12.254574533318 |
L(r)(E,1)/r! |
Ω |
0.81130093576833 |
Real period |
R |
7.5524222844186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400z1 11600x1 1856p1 |
Quadratic twists by: -4 8 5 |