Atkin-Lehner |
2+ 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
82544n |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27254047744 = 210 · 72 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1291,-15990] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:42:1] |
Generators of the group modulo torsion |
j |
232381998468/26615281 |
j-invariant |
L |
3.6864399124352 |
L(r)(E,1)/r! |
Ω |
0.80240929737053 |
Real period |
R |
2.2971069258149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010251 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41272b2 |
Quadratic twists by: -4 |