Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gh |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-1268460000000000000 = -1 · 214 · 37 · 513 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-229872,68816864] |
[a1,a2,a3,a4,a6] |
Generators |
[193:5625:1] |
Generators of the group modulo torsion |
j |
-112469423174656/106201171875 |
j-invariant |
L |
6.3353988049684 |
L(r)(E,1)/r! |
Ω |
0.24838959307514 |
Real period |
R |
0.49049797475709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520cx1 20880j1 27840ch1 |
Quadratic twists by: -4 8 -3 |