Atkin-Lehner |
2+ 3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
82416d |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
129455096832 = 210 · 36 · 17 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4400,-112476] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:36:1] |
Generators of the group modulo torsion |
j |
9201963038404/126420993 |
j-invariant |
L |
5.8112851641962 |
L(r)(E,1)/r! |
Ω |
0.58666382299243 |
Real period |
R |
0.82547064387667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41208b1 |
Quadratic twists by: -4 |