Atkin-Lehner |
2+ 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8946d |
Isogeny class |
Conductor |
8946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-139128192 = -1 · 27 · 37 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-666,-6476] |
[a1,a2,a3,a4,a6] |
j |
-44852393377/190848 |
j-invariant |
L |
1.8789700249243 |
L(r)(E,1)/r! |
Ω |
0.46974250623107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568bz1 2982f1 62622q1 |
Quadratic twists by: -4 -3 -7 |