Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408i |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
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 |
[74:525:8] |
Generators of the group modulo torsion |
j |
2652219392/1961739 |
j-invariant |
L |
4.2813463299381 |
L(r)(E,1)/r! |
Ω |
0.9399614910081 |
Real period |
R |
4.5548103524682 |
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 |
57408dj1 7176f1 |
Quadratic twists by: -4 8 |