Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
45084l |
Isogeny class |
Conductor |
45084 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
233715456 = 28 · 35 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -4 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-164,-396] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:18:1] |
Generators of the group modulo torsion |
j |
6633808/3159 |
j-invariant |
L |
8.8046040632246 |
L(r)(E,1)/r! |
Ω |
1.3974653410825 |
Real period |
R |
1.2600819218019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45084e1 |
Quadratic twists by: 17 |