Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256w |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
270532608 = 221 · 3 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-352257,-80588193] |
[a1,a2,a3,a4,a6] |
Generators |
[610609050522387350:-86751881651828547363:30225545875000] |
Generators of the group modulo torsion |
j |
18440127492397057/1032 |
j-invariant |
L |
6.0012175053367 |
L(r)(E,1)/r! |
Ω |
0.19596772184513 |
Real period |
R |
30.623499874533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8256bf3 258d3 24768bf4 |
Quadratic twists by: -4 8 -3 |