Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160gh |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-72432432230400 = -1 · 212 · 312 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9225,535977] |
[a1,a2,a3,a4,a6] |
Generators |
[59:440:1] |
Generators of the group modulo torsion |
j |
-15926924096/13286025 |
j-invariant |
L |
4.4798018028191 |
L(r)(E,1)/r! |
Ω |
0.56303797884383 |
Real period |
R |
1.989120646941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998390515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160io2 58080p1 116160gf2 |
Quadratic twists by: -4 8 -11 |