Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6536b |
Isogeny class |
Conductor |
6536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-71948288 = -1 · 211 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 6 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96,-160] |
[a1,a2,a3,a4,a6] |
j |
47279806/35131 |
j-invariant |
L |
2.1780767187584 |
L(r)(E,1)/r! |
Ω |
1.0890383593792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13072b1 52288g1 58824c1 124184c1 |
Quadratic twists by: -4 8 -3 -19 |