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 |
Δ |
2145740193792 = 216 · 32 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10689,415935] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:828:1] [69:108:1] |
Generators of the group modulo torsion |
j |
2061083763652/32741397 |
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 |
57408i3 14352j4 |
Quadratic twists by: -4 8 |