Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dj |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
387457155072 = 216 · 32 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17889,-926433] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:21:1] [1146:38535:1] |
Generators of the group modulo torsion |
j |
9661092730852/5912127 |
j-invariant |
L |
10.240657009567 |
L(r)(E,1)/r! |
Ω |
0.41282592988044 |
Real period |
R |
12.403117474406 |
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 |
57408i4 14352j3 |
Quadratic twists by: -4 8 |