Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160bk |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
369562176000 = 29 · 36 · 53 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12267,522126] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:890:1] |
Generators of the group modulo torsion |
j |
546942055752/990125 |
j-invariant |
L |
8.3302389911363 |
L(r)(E,1)/r! |
Ω |
0.95463183127555 |
Real period |
R |
0.72717728570412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128160bm2 14240a2 |
Quadratic twists by: -4 -3 |