Atkin-Lehner |
2- 3- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
48564a |
Isogeny class |
Conductor |
48564 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
160871940864 = 28 · 38 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1551,13430] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:90:1] [-37:142:1] |
Generators of the group modulo torsion |
j |
2211014608/862011 |
j-invariant |
L |
8.0709654914534 |
L(r)(E,1)/r! |
Ω |
0.93085877595281 |
Real period |
R |
1.4450751821783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16188a2 |
Quadratic twists by: -3 |