Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864d |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2400731136 = -1 · 214 · 37 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -3 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,335,-47] |
[a1,a2,a3,a4,a6] |
j |
253012016/146529 |
j-invariant |
L |
1.7401174049752 |
L(r)(E,1)/r! |
Ω |
0.87005870248759 |
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 |
12864bh1 804d1 38592x1 |
Quadratic twists by: -4 8 -3 |