Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27200f |
Isogeny class |
Conductor |
27200 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[1:32:1] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
4.2391776230901 |
L(r)(E,1)/r! |
Ω |
1.8145333434377 |
Real period |
R |
0.58405893151829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27200bu1 425c1 27200bj1 |
Quadratic twists by: -4 8 5 |