Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200bu |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-111411200 = -1 · 218 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -4 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,-1217] |
[a1,a2,a3,a4,a6] |
j |
-121945/17 |
j-invariant |
L |
1.2704980288932 |
L(r)(E,1)/r! |
Ω |
0.63524901444664 |
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 |
27200f1 6800k1 27200cw1 |
Quadratic twists by: -4 8 5 |