Atkin-Lehner |
2+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144j |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
47071232 = 214 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -6 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380,2832] |
[a1,a2,a3,a4,a6] |
Generators |
[14:16:1] |
Generators of the group modulo torsion |
j |
370386000/2873 |
j-invariant |
L |
3.7868904868389 |
L(r)(E,1)/r! |
Ω |
2.0250068402355 |
Real period |
R |
0.93503152967089 |
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 |
14144z2 1768c2 127296x2 |
Quadratic twists by: -4 8 -3 |