Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565bj |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-3944976174166005 = -1 · 39 · 5 · 119 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 11+ -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15223,-2937954] |
[a1,a2,a3,a4,a6] |
Generators |
[4998:64703:27] |
Generators of the group modulo torsion |
j |
226981/2295 |
j-invariant |
L |
3.720681238034 |
L(r)(E,1)/r! |
Ω |
0.21730200758954 |
Real period |
R |
4.2805417303348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999778096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30855b1 92565bm1 |
Quadratic twists by: -3 -11 |