Atkin-Lehner |
5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76585a |
Isogeny class |
Conductor |
76585 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.783911780217E+21 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2730321,2838980927] |
[a1,a2,a3,a4,a6] |
Generators |
[-1746:378881:8] [30350:2067933:8] |
Generators of the group modulo torsion |
j |
93254874253221239/198193603515625 |
j-invariant |
L |
6.986134344403 |
L(r)(E,1)/r! |
Ω |
0.094989848917067 |
Real period |
R |
18.386528729142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4505b2 |
Quadratic twists by: 17 |