Atkin-Lehner |
2+ 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6816c |
Isogeny class |
Conductor |
6816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-368064 = -1 · 26 · 34 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18,0] |
[a1,a2,a3,a4,a6] |
j |
9528128/5751 |
j-invariant |
L |
3.5093914581242 |
L(r)(E,1)/r! |
Ω |
1.7546957290621 |
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 |
6816a1 13632n1 20448m1 |
Quadratic twists by: -4 8 -3 |