Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144a |
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 |
[-15:55:1] [6:20:1] |
Generators of the group modulo torsion |
j |
2800908288/221 |
j-invariant |
L |
5.8777467694129 |
L(r)(E,1)/r! |
Ω |
2.9960499479258 |
Real period |
R |
3.923664072078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144q1 1768e1 127296d1 |
Quadratic twists by: -4 8 -3 |