Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cq |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-13056000000 = -1 · 214 · 3 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -5 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-7437] |
[a1,a2,a3,a4,a6] |
j |
-65536/51 |
j-invariant |
L |
0.48061358469105 |
L(r)(E,1)/r! |
Ω |
0.48061355921024 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600fi1 5100b1 3264g1 |
Quadratic twists by: -4 8 5 |