Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bh |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-55330881536 = -1 · 214 · 72 · 413 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,943,-1681] |
[a1,a2,a3,a4,a6] |
Generators |
[41:328:1] |
Generators of the group modulo torsion |
j |
115393712/68921 |
j-invariant |
L |
3.6598894266267 |
L(r)(E,1)/r! |
Ω |
0.65211767952314 |
Real period |
R |
0.9353857525709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997488271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576cu2 8036f2 128576f2 |
Quadratic twists by: -4 8 -7 |