Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256bc |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-11395518234624 = -1 · 216 · 37 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 1 -1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,-163743] |
[a1,a2,a3,a4,a6] |
j |
-6929294404/173881809 |
j-invariant |
L |
0.62128468138764 |
L(r)(E,1)/r! |
Ω |
0.31064234069382 |
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 |
8256t1 2064b1 24768bz1 |
Quadratic twists by: -4 8 -3 |