Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
14544n |
Isogeny class |
Conductor |
14544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-32571113472 = -1 · 214 · 39 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -4 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,621,-6318] |
[a1,a2,a3,a4,a6] |
Generators |
[1443:11440:27] |
Generators of the group modulo torsion |
j |
328509/404 |
j-invariant |
L |
5.8732184218133 |
L(r)(E,1)/r! |
Ω |
0.62599456620703 |
Real period |
R |
4.6911097466866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1818b1 58176bn1 14544k1 |
Quadratic twists by: -4 8 -3 |