Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150cv |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
7976074218750 = 2 · 33 · 513 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 3 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9688,-341758] |
[a1,a2,a3,a4,a6] |
j |
53189206081/4218750 |
j-invariant |
L |
5.8036498066325 |
L(r)(E,1)/r! |
Ω |
0.48363748388604 |
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 |
54450ce1 3630f1 18150bf1 |
Quadratic twists by: -3 5 -11 |