Atkin-Lehner |
2+ 3- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59856h |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2573808 = -1 · 24 · 3 · 29 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -3 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,75] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:9:1] |
Generators of the group modulo torsion |
j |
-4000000/160863 |
j-invariant |
L |
8.5142765158994 |
L(r)(E,1)/r! |
Ω |
2.1341859766699 |
Real period |
R |
1.994736309018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29928b1 |
Quadratic twists by: -4 |