Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82280r |
Isogeny class |
Conductor |
82280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
1457640390800 = 24 · 52 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,119297] |
[a1,a2,a3,a4,a6] |
Generators |
[64:255:1] |
Generators of the group modulo torsion |
j |
3748096/425 |
j-invariant |
L |
10.107306766407 |
L(r)(E,1)/r! |
Ω |
0.82362055791148 |
Real period |
R |
3.0679500016096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82280h1 |
Quadratic twists by: -11 |