Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14432b |
Isogeny class |
Conductor |
14432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
205056 |
Modular degree for the optimal curve |
Δ |
-2.7291634177097E+19 |
Discriminant |
Eigenvalues |
2+ -1 1 0 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1282765,613519973] |
[a1,a2,a3,a4,a6] |
Generators |
[17683:2346676:1] |
Generators of the group modulo torsion |
j |
-56990885911817038336/6662996625267851 |
j-invariant |
L |
4.1293384199725 |
L(r)(E,1)/r! |
Ω |
0.20490800241597 |
Real period |
R |
5.0380394753811 |
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 |
14432d1 28864t1 129888bm1 |
Quadratic twists by: -4 8 -3 |