Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256bb |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-76087296 = -1 · 216 · 33 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 3 3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,193] |
[a1,a2,a3,a4,a6] |
j |
1431644/1161 |
j-invariant |
L |
2.4977702325577 |
L(r)(E,1)/r! |
Ω |
1.2488851162789 |
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 |
8256r1 2064c1 24768cb1 |
Quadratic twists by: -4 8 -3 |