Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144u |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
3012558848 = 220 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 2 -2 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-577,4833] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:96:1] |
Generators of the group modulo torsion |
j |
81182737/11492 |
j-invariant |
L |
7.4562323713636 |
L(r)(E,1)/r! |
Ω |
1.3685730944629 |
Real period |
R |
2.7240899304285 |
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 |
14144h1 3536g1 127296du1 |
Quadratic twists by: -4 8 -3 |