Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bs |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.3438839131684E+27 |
Discriminant |
Eigenvalues |
2+ -2 4 7- -4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2154552801,-38453472410753] |
[a1,a2,a3,a4,a6] |
Generators |
[446094824334955387768185:89430321368255000349090056:5909959014340396625] |
Generators of the group modulo torsion |
j |
35864681248144538691049/43574618474283008 |
j-invariant |
L |
5.6746272744842 |
L(r)(E,1)/r! |
Ω |
0.02216113263335 |
Real period |
R |
32.007768464879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576cy2 4018g2 18368h2 |
Quadratic twists by: -4 8 -7 |