Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144u |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-8851361103872 = -1 · 218 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 0 4 7- 2 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2597,133770] |
[a1,a2,a3,a4,a6] |
j |
4019679/18368 |
j-invariant |
L |
4.1987647999763 |
L(r)(E,1)/r! |
Ω |
0.52484559999763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4018q1 128576cp1 4592c1 |
Quadratic twists by: -4 8 -7 |