Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640u |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-521994240 = -1 · 216 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-641,-6561] |
[a1,a2,a3,a4,a6] |
j |
-445138564/7965 |
j-invariant |
L |
2.8430781064862 |
L(r)(E,1)/r! |
Ω |
0.47384635134271 |
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 |
56640bv1 7080i1 |
Quadratic twists by: -4 8 |