Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205m |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.3632155909576E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1972305,-767353230] |
[a1,a2,a3,a4,a6] |
Generators |
[-525938846429794:-1920880077228363:1218870934568] |
Generators of the group modulo torsion |
j |
184122897769/51282015 |
j-invariant |
L |
6.6692381505186 |
L(r)(E,1)/r! |
Ω |
0.13007620263368 |
Real period |
R |
25.63588887401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27735l3 1935k4 |
Quadratic twists by: -3 -43 |