Atkin-Lehner |
3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165f |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-1435584102619875 = -1 · 3 · 53 · 139 · 192 |
Discriminant |
Eigenvalues |
2 3+ 5+ -1 -1 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1669776,831050807] |
[a1,a2,a3,a4,a6] |
j |
-106669068376969216/297418875 |
j-invariant |
L |
1.6654592997576 |
L(r)(E,1)/r! |
Ω |
0.4163648249821 |
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 |
3705d1 |
Quadratic twists by: 13 |