Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600p |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
26281250000 = 24 · 59 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-800,3875] |
[a1,a2,a3,a4,a6] |
j |
226492416/105125 |
j-invariant |
L |
2.1274464953311 |
L(r)(E,1)/r! |
Ω |
1.0637232476655 |
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 |
2900a1 46400bs1 104400eu1 2320h1 |
Quadratic twists by: -4 8 -3 5 |