Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16368h |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2334492408913708032 = 210 · 35 · 11 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-364864,42454480] |
[a1,a2,a3,a4,a6] |
Generators |
[120:620:1] |
Generators of the group modulo torsion |
j |
5245875638258183428/2279777743079793 |
j-invariant |
L |
4.2834171648771 |
L(r)(E,1)/r! |
Ω |
0.23315339311761 |
Real period |
R |
2.2964587323829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8184g4 65472cm3 49104o3 |
Quadratic twists by: -4 8 -3 |