Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475l |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
861327520751953125 = 34 · 514 · 134 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-503251,129912773] |
[a1,a2,a3,a4,a6] |
Generators |
[-803:4451:1] |
Generators of the group modulo torsion |
j |
902103536120735521/55124961328125 |
j-invariant |
L |
9.7156045689505 |
L(r)(E,1)/r! |
Ω |
0.27650812126077 |
Real period |
R |
4.3920972939278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998378 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895e3 |
Quadratic twists by: 5 |