Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144q |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
226304 = 210 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 0 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-296,-1960] |
[a1,a2,a3,a4,a6] |
Generators |
[3716:26895:64] |
Generators of the group modulo torsion |
j |
2800908288/221 |
j-invariant |
L |
4.02394436756 |
L(r)(E,1)/r! |
Ω |
1.1510089034069 |
Real period |
R |
6.9920299584992 |
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 |
14144a1 3536e1 127296ca1 |
Quadratic twists by: -4 8 -3 |