Atkin-Lehner |
7- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14147a |
Isogeny class |
Conductor |
14147 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
568 |
Modular degree for the optimal curve |
Δ |
14147 = 7 · 43 · 47 |
Discriminant |
Eigenvalues |
1 0 -2 7- -1 -1 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
60698457/14147 |
j-invariant |
L |
4.259419906068 |
L(r)(E,1)/r! |
Ω |
3.7257525022613 |
Real period |
R |
1.1432374811485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127323k1 99029a1 |
Quadratic twists by: -3 -7 |