Atkin-Lehner |
2- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032w |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7230850072576 = -1 · 222 · 132 · 1012 |
Discriminant |
Eigenvalues |
2- 2 -2 -4 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3711,-96991] |
[a1,a2,a3,a4,a6] |
j |
21554582687/27583504 |
j-invariant |
L |
0.79605668139059 |
L(r)(E,1)/r! |
Ω |
0.39802835791792 |
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 |
84032n2 21008e2 |
Quadratic twists by: -4 8 |