Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144s |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1600421888 = 215 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 4 -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7233,-234367] |
[a1,a2,a3,a4,a6] |
Generators |
[104:357:1] |
Generators of the group modulo torsion |
j |
1277289125000/48841 |
j-invariant |
L |
7.4801872649588 |
L(r)(E,1)/r! |
Ω |
0.51768541708194 |
Real period |
R |
3.6123227630801 |
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 |
14144w2 7072e2 127296dm2 |
Quadratic twists by: -4 8 -3 |