Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256c |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-855067415880400896 = -1 · 220 · 3 · 437 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -5 7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3833665,-2888210111] |
[a1,a2,a3,a4,a6] |
Generators |
[795988288515:27669832988608:275894451] |
Generators of the group modulo torsion |
j |
-23769846831649063249/3261823333284 |
j-invariant |
L |
4.0629964046115 |
L(r)(E,1)/r! |
Ω |
0.053946395761761 |
Real period |
R |
18.82885940404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256bp2 258f2 24768m2 |
Quadratic twists by: -4 8 -3 |