Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
448c |
Isogeny class |
Conductor |
448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6576668672 = 227 · 72 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-174753,-28059871] |
[a1,a2,a3,a4,a6] |
j |
2251439055699625/25088 |
j-invariant |
L |
2.1015304994765 |
L(r)(E,1)/r! |
Ω |
0.23350338883072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
448f6 14a5 4032l6 11200j6 |
Quadratic twists by: -4 8 -3 5 |