Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650i |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2913084000000 = -1 · 28 · 39 · 56 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3483,21141] |
[a1,a2,a3,a4,a6] |
j |
410172407/255744 |
j-invariant |
L |
1.9897939832664 |
L(r)(E,1)/r! |
Ω |
0.49744849581659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5550bf1 666f1 |
Quadratic twists by: -3 5 |