Atkin-Lehner |
2+ 11- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
86768d |
Isogeny class |
Conductor |
86768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-51372209152 = -1 · 210 · 112 · 17 · 293 |
Discriminant |
Eigenvalues |
2+ -2 2 1 11- -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-272,-11132] |
[a1,a2,a3,a4,a6] |
Generators |
[27:44:1] |
Generators of the group modulo torsion |
j |
-2181354052/50168173 |
j-invariant |
L |
5.0061304835618 |
L(r)(E,1)/r! |
Ω |
0.48642110474617 |
Real period |
R |
2.5729406243306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43384c1 |
Quadratic twists by: -4 |