Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bl |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
147197952 = 212 · 33 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5316,-149184] |
[a1,a2,a3,a4,a6] |
j |
150229394496/1331 |
j-invariant |
L |
1.1182361763943 |
L(r)(E,1)/r! |
Ω |
0.55911808819717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336bs1 3168e1 6336bq1 69696ep1 |
Quadratic twists by: -4 8 -3 -11 |