Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32016f |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-5184421266023424 = -1 · 210 · 315 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 4 -3 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38824,-4559452] |
[a1,a2,a3,a4,a6] |
j |
-6320272110063268/5062911392601 |
j-invariant |
L |
4.9326542594926 |
L(r)(E,1)/r! |
Ω |
0.16442180864965 |
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 |
16008d1 128064ci1 96048o1 |
Quadratic twists by: -4 8 -3 |