Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160dx |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8692338368102400 = -1 · 214 · 32 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1775,-4484977] |
[a1,a2,a3,a4,a6] |
Generators |
[2538089671:37329338820:9393931] |
Generators of the group modulo torsion |
j |
16/225 |
j-invariant |
L |
11.545928331755 |
L(r)(E,1)/r! |
Ω |
0.1903804941162 |
Real period |
R |
15.161648156247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160gi2 14520b2 116160dy2 |
Quadratic twists by: -4 8 -11 |