Atkin-Lehner |
2- 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48024j |
Isogeny class |
Conductor |
48024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-3779443102931076096 = -1 · 210 · 321 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -3 1 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-349419,-122755786] |
[a1,a2,a3,a4,a6] |
j |
-6320272110063268/5062911392601 |
j-invariant |
L |
0.75943180328775 |
L(r)(E,1)/r! |
Ω |
0.094928975484523 |
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 |
96048o1 16008d1 |
Quadratic twists by: -4 -3 |