Atkin-Lehner |
17+ |
Signs for the Atkin-Lehner involutions |
Class |
289a |
Isogeny class |
Conductor |
289 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2015993900449 = -1 · 1710 |
Discriminant |
Eigenvalues |
-1 0 2 -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199,-68272] |
[a1,a2,a3,a4,a6] |
Generators |
[478:2647:8] |
Generators of the group modulo torsion |
j |
-35937/83521 |
j-invariant |
L |
1.1388947569598 |
L(r)(E,1)/r! |
Ω |
0.37522195500858 |
Real period |
R |
3.0352561777303 |
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 |
4624e4 18496c4 2601j4 7225b4 |
Quadratic twists by: -4 8 -3 5 |