Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14448bb |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
5591376 = 24 · 33 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,210] |
[a1,a2,a3,a4,a6] |
j |
3196715008/349461 |
j-invariant |
L |
3.4966166431366 |
L(r)(E,1)/r! |
Ω |
2.331077762091 |
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 |
3612c1 57792cm1 43344bn1 101136bg1 |
Quadratic twists by: -4 8 -3 -7 |