Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784c |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
96387895296 = 212 · 34 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12937,570505] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:980:1] |
Generators of the group modulo torsion |
j |
58465284603328/23532201 |
j-invariant |
L |
4.5434685763761 |
L(r)(E,1)/r! |
Ω |
1.0491374326388 |
Real period |
R |
2.1653352721141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14784bl2 7392e1 44352bp2 103488dh2 |
Quadratic twists by: -4 8 -3 -7 |