Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472y |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
369250246519160832 = 224 · 37 · 72 · 593 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1869915,-983760118] |
[a1,a2,a3,a4,a6] |
Generators |
[1738:31878:1] |
Generators of the group modulo torsion |
j |
242159678927097625/123661160448 |
j-invariant |
L |
5.6691712235692 |
L(r)(E,1)/r! |
Ω |
0.1291092621654 |
Real period |
R |
5.4887340462543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7434i3 19824r3 |
Quadratic twists by: -4 -3 |