Atkin-Lehner |
3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32307i |
Isogeny class |
Conductor |
32307 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3746686759827 = -1 · 3 · 116 · 893 |
Discriminant |
Eigenvalues |
0 3- 0 -2 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,3227,61870] |
[a1,a2,a3,a4,a6] |
Generators |
[2334:26909:27] |
Generators of the group modulo torsion |
j |
2097152000/2114907 |
j-invariant |
L |
4.8228178618311 |
L(r)(E,1)/r! |
Ω |
0.51868492914011 |
Real period |
R |
4.6490823146012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96921v2 267a2 |
Quadratic twists by: -3 -11 |