Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4450j |
Isogeny class |
Conductor |
4450 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
71200 = 25 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 -6 -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18,-28] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
25888585/2848 |
j-invariant |
L |
6.0830956157585 |
L(r)(E,1)/r! |
Ω |
2.3337050313145 |
Real period |
R |
0.52132514899126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35600ba1 40050f1 4450g1 |
Quadratic twists by: -4 -3 5 |