Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16590z |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-3740809140633600 = -1 · 232 · 32 · 52 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3700,2943632] |
[a1,a2,a3,a4,a6] |
j |
-5601911201812801/3740809140633600 |
j-invariant |
L |
5.7261845140072 |
L(r)(E,1)/r! |
Ω |
0.35788653212545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49770l1 82950g1 116130ce1 |
Quadratic twists by: -3 5 -7 |