Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900g |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-12006630000 = -1 · 24 · 39 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10125,-392175] |
[a1,a2,a3,a4,a6] |
j |
-583200000/61 |
j-invariant |
L |
1.9037418743605 |
L(r)(E,1)/r! |
Ω |
0.23796773431266 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54900h1 54900c1 |
Quadratic twists by: -3 5 |