Atkin-Lehner |
2- 3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
82668a |
Isogeny class |
Conductor |
82668 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1.5567843908545E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-801420,200816136] |
[a1,a2,a3,a4,a6] |
Generators |
[46934294166949008820:117977529976777845401:64394407431368000] |
Generators of the group modulo torsion |
j |
680136784/186003 |
j-invariant |
L |
5.3496443144881 |
L(r)(E,1)/r! |
Ω |
0.20608728767176 |
Real period |
R |
25.958148014384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
996a2 |
Quadratic twists by: -83 |