Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ei |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
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] |
j |
50338425969232/54974619 |
j-invariant |
L |
2.0374830779931 |
L(r)(E,1)/r! |
Ω |
0.50937077247815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cg2 19152bm2 25536cy2 |
Quadratic twists by: -4 8 -3 |