Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408b |
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] |
Generators |
[9:48:1] |
Generators of the group modulo torsion |
j |
59582000/34983 |
j-invariant |
L |
3.9767431961054 |
L(r)(E,1)/r! |
Ω |
0.96152251696207 |
Real period |
R |
1.0339703766851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408dc1 7176e1 |
Quadratic twists by: -4 8 |