Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14448m |
Isogeny class |
Conductor |
14448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
4295783140036706304 = 225 · 311 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 4 -3 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-412112,-20483136] |
[a1,a2,a3,a4,a6] |
j |
1889777177808124753/1048775180673024 |
j-invariant |
L |
0.40393150700715 |
L(r)(E,1)/r! |
Ω |
0.20196575350357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806n1 57792cu1 43344z1 101136cp1 |
Quadratic twists by: -4 8 -3 -7 |