Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dc |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-573161472 = -1 · 214 · 32 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,207,207] |
[a1,a2,a3,a4,a6] |
j |
59582000/34983 |
j-invariant |
L |
3.9700609608857 |
L(r)(E,1)/r! |
Ω |
0.99251524008314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408b1 14352h1 |
Quadratic twists by: -4 8 |