Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256w |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-580749373734912 = -1 · 221 · 34 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19457,-1567137] |
[a1,a2,a3,a4,a6] |
Generators |
[80794:22965225:1] |
Generators of the group modulo torsion |
j |
-3107661785857/2215383048 |
j-invariant |
L |
6.0012175053367 |
L(r)(E,1)/r! |
Ω |
0.19596772184513 |
Real period |
R |
7.6558749686332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8256bf4 258d4 24768bf3 |
Quadratic twists by: -4 8 -3 |