Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650h |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
596599603200 = 215 · 39 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 -1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2322,22356] |
[a1,a2,a3,a4,a6] |
j |
75988526665/32735232 |
j-invariant |
L |
1.6536328102637 |
L(r)(E,1)/r! |
Ω |
0.82681640513186 |
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 |
5550be1 16650co1 |
Quadratic twists by: -3 5 |