Atkin-Lehner |
2- 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032bd |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15309324288 = 214 · 32 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144368,21065172] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:6486:1] [223:102:1] |
Generators of the group modulo torsion |
j |
782503013375/36 |
j-invariant |
L |
13.356826158745 |
L(r)(E,1)/r! |
Ω |
0.92783257582192 |
Real period |
R |
7.1978644144594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989337 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13254c2 106032bc2 |
Quadratic twists by: -4 -47 |