Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192s |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
440832 |
Modular degree for the optimal curve |
Δ |
-51046450554395648 = -1 · 210 · 114 · 237 |
Discriminant |
Eigenvalues |
2- 1 -4 -2 11+ -3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3536665,-2561196641] |
[a1,a2,a3,a4,a6] |
Generators |
[10266:1021361:1] |
Generators of the group modulo torsion |
j |
-4777554520541237119744/49850049369527 |
j-invariant |
L |
3.2765068309635 |
L(r)(E,1)/r! |
Ω |
0.055045370061258 |
Real period |
R |
4.2516964088212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192g1 4048k1 |
Quadratic twists by: -4 8 |