Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92055p |
Isogeny class |
Conductor |
92055 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
63590400 |
Modular degree for the optimal curve |
Δ |
4.8831317509128E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21623980691,-1223917713668400] |
[a1,a2,a3,a4,a6] |
Generators |
[-955339297420857685453:477603059512306914830:11252525023026503] |
Generators of the group modulo torsion |
j |
23768897678689118960520250489/1037950963425 |
j-invariant |
L |
2.8119109308247 |
L(r)(E,1)/r! |
Ω |
0.012449893703216 |
Real period |
R |
28.232278535388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845a1 |
Quadratic twists by: -19 |