Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408i |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
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 |
[81:48:1] |
Generators of the group modulo torsion |
j |
9661092730852/5912127 |
j-invariant |
L |
4.2813463299381 |
L(r)(E,1)/r! |
Ω |
0.9399614910081 |
Real period |
R |
1.1387025881171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dj4 7176f4 |
Quadratic twists by: -4 8 |