Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784z |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1854081073152 = 219 · 38 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6753,-205569] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:96:1] |
Generators of the group modulo torsion |
j |
129938649625/7072758 |
j-invariant |
L |
5.6745829298422 |
L(r)(E,1)/r! |
Ω |
0.52843300407341 |
Real period |
R |
0.67115685504358 |
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 |
14784bx2 462a2 44352o2 103488bm2 |
Quadratic twists by: -4 8 -3 -7 |