Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600f |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16820000000 = 28 · 57 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-908,8188] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:116:1] |
Generators of the group modulo torsion |
j |
20720464/4205 |
j-invariant |
L |
2.7411580945915 |
L(r)(E,1)/r! |
Ω |
1.1689467916094 |
Real period |
R |
1.1724905334731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5800h2 46400cb2 104400ba2 2320a2 |
Quadratic twists by: -4 8 -3 5 |