Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82280m |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3839616 |
Modular degree for the optimal curve |
Δ |
4077778146070816000 = 28 · 53 · 1110 · 173 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 11- -6 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-409948,27700772] |
[a1,a2,a3,a4,a6] |
j |
1147474944/614125 |
j-invariant |
L |
1.2964801884239 |
L(r)(E,1)/r! |
Ω |
0.2160800245743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82280c1 |
Quadratic twists by: -11 |