Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908bf |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3055568322868992 = 28 · 38 · 77 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37191,-740194] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:846:1] |
Generators of the group modulo torsion |
j |
259108432/139167 |
j-invariant |
L |
5.8821638135846 |
L(r)(E,1)/r! |
Ω |
0.36587083244783 |
Real period |
R |
1.3397633100732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27636c2 11844c2 |
Quadratic twists by: -3 -7 |