Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
82656ba |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1457718571008 = -1 · 212 · 311 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -5 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2760,-16112] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-324:1] |
Generators of the group modulo torsion |
j |
778688000/488187 |
j-invariant |
L |
5.8783628284806 |
L(r)(E,1)/r! |
Ω |
0.48982667547902 |
Real period |
R |
0.75005648981147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82656bg1 27552f1 |
Quadratic twists by: -4 -3 |