Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12864q |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-9879552 = -1 · 214 · 32 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 6 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101,387] |
[a1,a2,a3,a4,a6] |
j |
-7023616/603 |
j-invariant |
L |
4.4915883854995 |
L(r)(E,1)/r! |
Ω |
2.2457941927498 |
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 |
12864bg1 1608a1 38592u1 |
Quadratic twists by: -4 8 -3 |