Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864bk |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-55160832 = -1 · 212 · 3 · 672 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,407] |
[a1,a2,a3,a4,a6] |
j |
-10648000/13467 |
j-invariant |
L |
1.7964423260781 |
L(r)(E,1)/r! |
Ω |
1.7964423260781 |
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 |
12864x2 6432a1 38592cb2 |
Quadratic twists by: -4 8 -3 |