Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cg |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
656613330960384 = 214 · 316 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175836,-28353040] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:36:1] |
Generators of the group modulo torsion |
j |
50338425969232/54974619 |
j-invariant |
L |
5.1384261284139 |
L(r)(E,1)/r! |
Ω |
0.23315840893662 |
Real period |
R |
2.7547934855908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ei2 4788e2 25536n2 |
Quadratic twists by: -4 8 -3 |