Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cd |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
10438881902592 = 216 · 3 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5464,-4588] |
[a1,a2,a3,a4,a6] |
Generators |
[502:11136:1] |
Generators of the group modulo torsion |
j |
912673/528 |
j-invariant |
L |
5.1166140855193 |
L(r)(E,1)/r! |
Ω |
0.60852267610509 |
Real period |
R |
4.2041277053273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000323 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154h1 528j1 |
Quadratic twists by: -4 13 |