Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450g |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-4481986971052800 = -1 · 28 · 33 · 52 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,41178,-186444] |
[a1,a2,a3,a4,a6] |
j |
441045/256 |
j-invariant |
L |
1.0335102274712 |
L(r)(E,1)/r! |
Ω |
0.25837755736403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450dz1 54450ek1 54450dy1 |
Quadratic twists by: -3 5 -11 |