Atkin-Lehner |
2- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19448d |
Isogeny class |
Conductor |
19448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
269063235584 = 211 · 112 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67211,-6706650] |
[a1,a2,a3,a4,a6] |
Generators |
[4002:73695:8] |
Generators of the group modulo torsion |
j |
16395128736206274/131378533 |
j-invariant |
L |
2.9828591285849 |
L(r)(E,1)/r! |
Ω |
0.29651022488605 |
Real period |
R |
5.0299431153364 |
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 |
38896b4 |
Quadratic twists by: -4 |