Atkin-Lehner |
2+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184j |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
95849531648 = 28 · 132 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 4 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1439,-14818] |
[a1,a2,a3,a4,a6] |
Generators |
[-537:2080:27] |
Generators of the group modulo torsion |
j |
1287259568208/374412233 |
j-invariant |
L |
5.9834054961594 |
L(r)(E,1)/r! |
Ω |
0.79240505111803 |
Real period |
R |
3.7754715775953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33592l1 |
Quadratic twists by: -4 |