Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810cg |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-222604746800072000 = -1 · 26 · 53 · 78 · 136 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-269305,-58407623] |
[a1,a2,a3,a4,a6] |
Generators |
[2484:119593:1] |
Generators of the group modulo torsion |
j |
-77626969/8000 |
j-invariant |
L |
13.943020742529 |
L(r)(E,1)/r! |
Ω |
0.10417962751101 |
Real period |
R |
3.7176762961761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810bz2 490a2 |
Quadratic twists by: -7 13 |