Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864g |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-63389945561088 = -1 · 220 · 3 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,384993] |
[a1,a2,a3,a4,a6] |
j |
-2845178713/241813452 |
j-invariant |
L |
1.0233588400471 |
L(r)(E,1)/r! |
Ω |
0.51167942002354 |
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 |
12864bj4 402b4 38592z3 |
Quadratic twists by: -4 8 -3 |