Atkin-Lehner |
2- 3+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144j |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-530104725504 = -1 · 212 · 37 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 5 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,35037] |
[a1,a2,a3,a4,a6] |
j |
-262144/129420099 |
j-invariant |
L |
1.4737890668711 |
L(r)(E,1)/r! |
Ω |
0.73689453356288 |
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 |
3009a1 |
Quadratic twists by: -4 |