Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cq |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-4939893964800 = -1 · 221 · 32 · 52 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4858,-168988] |
[a1,a2,a3,a4,a6] |
Generators |
[116:854:1] |
Generators of the group modulo torsion |
j |
-507179652984265/197595758592 |
j-invariant |
L |
9.5398213619692 |
L(r)(E,1)/r! |
Ω |
0.28051450920387 |
Real period |
R |
0.40486070486041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650n1 |
Quadratic twists by: 5 |