Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256w |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
279189651456 = 224 · 32 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22017,-1264545] |
[a1,a2,a3,a4,a6] |
Generators |
[42145986757:114300595200:241804367] |
Generators of the group modulo torsion |
j |
4502751117697/1065024 |
j-invariant |
L |
6.0012175053367 |
L(r)(E,1)/r! |
Ω |
0.39193544369025 |
Real period |
R |
15.311749937266 |
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 |
8256bf2 258d2 24768bf2 |
Quadratic twists by: -4 8 -3 |