Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
82908d |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
38219924736 = 28 · 33 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 1 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1176,-12348] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
221184/47 |
j-invariant |
L |
9.1125337924432 |
L(r)(E,1)/r! |
Ω |
0.82752206768316 |
Real period |
R |
1.8353052942644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82908h1 1692b1 |
Quadratic twists by: -3 -7 |