Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11600d |
Isogeny class |
Conductor |
11600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
1051250000 = 24 · 57 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-283,1062] |
[a1,a2,a3,a4,a6] |
Generators |
[102:154:27] |
Generators of the group modulo torsion |
j |
10061824/4205 |
j-invariant |
L |
6.9673642409092 |
L(r)(E,1)/r! |
Ω |
1.4067339438559 |
Real period |
R |
4.9528656583146 |
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 |
5800c1 46400ce1 104400bs1 2320c1 |
Quadratic twists by: -4 8 -3 5 |