Atkin-Lehner |
2- 3- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
82416p |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
379772928 = 213 · 33 · 17 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-748] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
244140625/92718 |
j-invariant |
L |
8.9901206086548 |
L(r)(E,1)/r! |
Ω |
1.2974015684575 |
Real period |
R |
1.1548879473711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10302e1 |
Quadratic twists by: -4 |