Atkin-Lehner |
5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27455b |
Isogeny class |
Conductor |
27455 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-194910869675 = -1 · 52 · 177 · 19 |
Discriminant |
Eigenvalues |
-2 -1 5+ 2 -2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96,21276] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-145:1] |
Generators of the group modulo torsion |
j |
-4096/8075 |
j-invariant |
L |
1.5841925024201 |
L(r)(E,1)/r! |
Ω |
0.80962472905112 |
Real period |
R |
0.24458746836277 |
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 |
1615c1 |
Quadratic twists by: 17 |