Atkin-Lehner |
2+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544b |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
4474545152 = 210 · 72 · 113 · 67 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11+ 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29744,1984400] |
[a1,a2,a3,a4,a6] |
Generators |
[37:966:1] |
Generators of the group modulo torsion |
j |
2842081147249348/4369673 |
j-invariant |
L |
8.3673127619194 |
L(r)(E,1)/r! |
Ω |
1.1741331294164 |
Real period |
R |
3.5631874066234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41272g1 |
Quadratic twists by: -4 |