Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3168h |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-3974344704 = -1 · 212 · 36 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11+ -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,-3024] |
[a1,a2,a3,a4,a6] |
j |
13824/1331 |
j-invariant |
L |
1.3217555968296 |
L(r)(E,1)/r! |
Ω |
0.66087779841482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3168l1 6336cf1 352f1 79200dg1 |
Quadratic twists by: -4 8 -3 5 |