Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450gs |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
2042880 |
Modular degree for the optimal curve |
Δ |
1.97542996992E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3714305,-2670072303] |
[a1,a2,a3,a4,a6] |
Generators |
[-1081:9540:1] |
Generators of the group modulo torsion |
j |
32893747448573/1146617856 |
j-invariant |
L |
10.190085253203 |
L(r)(E,1)/r! |
Ω |
0.10898311874762 |
Real period |
R |
1.2302829159493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150p1 54450cz1 54450da1 |
Quadratic twists by: -3 5 -11 |