Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850bu |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
22963200000000 = 216 · 3 · 58 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13813,579617] |
[a1,a2,a3,a4,a6] |
j |
18653901818761/1469644800 |
j-invariant |
L |
5.2896590889714 |
L(r)(E,1)/r! |
Ω |
0.66120738612845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970c1 |
Quadratic twists by: 5 |