Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dj |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-2008820736 = -1 · 210 · 38 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,291,-909] |
[a1,a2,a3,a4,a6] |
Generators |
[6:33:1] [15:84:1] |
Generators of the group modulo torsion |
j |
2652219392/1961739 |
j-invariant |
L |
10.240657009567 |
L(r)(E,1)/r! |
Ω |
0.82565185976088 |
Real period |
R |
3.1007793686014 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408i1 14352j1 |
Quadratic twists by: -4 8 |