Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cn |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
573161472 = 214 · 32 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4433,115089] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-24:1] |
Generators of the group modulo torsion |
j |
588159250000/34983 |
j-invariant |
L |
3.5922629593383 |
L(r)(E,1)/r! |
Ω |
1.54927804327 |
Real period |
R |
0.57966724808431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bs2 14352z2 |
Quadratic twists by: -4 8 |