Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ey |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
33359413248 = 214 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33564,2366768] |
[a1,a2,a3,a4,a6] |
j |
350104249168/2793 |
j-invariant |
L |
4.1870828650067 |
L(r)(E,1)/r! |
Ω |
1.0467707297668 |
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 |
76608bv1 19152ba1 25536ch1 |
Quadratic twists by: -4 8 -3 |