Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9152z |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-869906825216 = -1 · 214 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6677,212531] |
[a1,a2,a3,a4,a6] |
Generators |
[1362:2197:27] |
Generators of the group modulo torsion |
j |
-2009615368192/53094899 |
j-invariant |
L |
3.7080049785229 |
L(r)(E,1)/r! |
Ω |
0.88630807507045 |
Real period |
R |
2.091826241247 |
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 |
9152c2 2288f2 82368dv2 100672dr2 |
Quadratic twists by: -4 8 -3 -11 |