Atkin-Lehner |
2+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14534a |
Isogeny class |
Conductor |
14534 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-865227390976 = -1 · 214 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ 2 1 2 0 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2363,8013] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1659:1] |
Generators of the group modulo torsion |
j |
51056879159/30294016 |
j-invariant |
L |
5.8179981874661 |
L(r)(E,1)/r! |
Ω |
0.5420178749279 |
Real period |
R |
2.6834899994027 |
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 |
116272r1 14534d1 |
Quadratic twists by: -4 13 |