Atkin-Lehner |
2+ 3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14586b |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
304559880768 = 26 · 34 · 112 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3020,-59376] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:77:1] |
Generators of the group modulo torsion |
j |
3047678972871625/304559880768 |
j-invariant |
L |
3.3817037657344 |
L(r)(E,1)/r! |
Ω |
0.64813501766775 |
Real period |
R |
0.65219893879194 |
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 |
116688x1 43758u1 |
Quadratic twists by: -4 -3 |