Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648u |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
47941498699776 = 230 · 32 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12152,-389520] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:110:1] |
Generators of the group modulo torsion |
j |
48455467135993/11704467456 |
j-invariant |
L |
5.088078103285 |
L(r)(E,1)/r! |
Ω |
0.4627000569362 |
Real period |
R |
2.7491233397377 |
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 |
2706e1 86592cx1 64944bh1 |
Quadratic twists by: -4 8 -3 |