Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576be |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20322725094490112 = 221 · 78 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- 2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115052,-13363280] |
[a1,a2,a3,a4,a6] |
Generators |
[2310:109760:1] |
Generators of the group modulo torsion |
j |
5461074081/658952 |
j-invariant |
L |
4.8212548933022 |
L(r)(E,1)/r! |
Ω |
0.26127170078346 |
Real period |
R |
2.3066289639965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998201802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576cp2 4018q2 18368g2 |
Quadratic twists by: -4 8 -7 |