Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784d |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-189568980615168 = -1 · 222 · 32 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6209,690753] |
[a1,a2,a3,a4,a6] |
Generators |
[17:768:1] |
Generators of the group modulo torsion |
j |
-100999381393/723148272 |
j-invariant |
L |
3.1019905711188 |
L(r)(E,1)/r! |
Ω |
0.48752527330454 |
Real period |
R |
1.5906819302376 |
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 |
14784cq1 462f1 44352bk1 103488dd1 |
Quadratic twists by: -4 8 -3 -7 |