Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008o |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
128176535808 = 28 · 38 · 17 · 672 |
Discriminant |
Eigenvalues |
2- 3- 4 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1263,1330] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:130:1] |
Generators of the group modulo torsion |
j |
1193895376/686817 |
j-invariant |
L |
10.269719268175 |
L(r)(E,1)/r! |
Ω |
0.88898826265444 |
Real period |
R |
2.8880356740899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27336g1 |
Quadratic twists by: -3 |