Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bn |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-42010189070094336 = -1 · 212 · 3 · 712 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24016,-9764736] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1050:1] |
Generators of the group modulo torsion |
j |
373979421247823/10256393815941 |
j-invariant |
L |
3.6129141517421 |
L(r)(E,1)/r! |
Ω |
0.17478698540823 |
Real period |
R |
5.1675960643643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187j4 |
Quadratic twists by: -4 |