Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148bk |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-90213268650607872 = -1 · 28 · 38 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81748,-17049628] |
[a1,a2,a3,a4,a6] |
j |
-4394000/6561 |
j-invariant |
L |
3.2168664192373 |
L(r)(E,1)/r! |
Ω |
0.13403610038723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71148k2 71148bl2 |
Quadratic twists by: -7 -11 |