Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12864ba |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-13488881664 = -1 · 226 · 3 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 0 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,5697] |
[a1,a2,a3,a4,a6] |
j |
-1771561/51456 |
j-invariant |
L |
2.1013716496603 |
L(r)(E,1)/r! |
Ω |
1.0506858248302 |
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 |
12864s1 3216j1 38592bt1 |
Quadratic twists by: -4 8 -3 |