Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cv |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1814926284864000000 = 212 · 314 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2339643,-1375913558] |
[a1,a2,a3,a4,a6] |
Generators |
[51807:935000:27] |
Generators of the group modulo torsion |
j |
474334834335054841/607815140625 |
j-invariant |
L |
5.0158373132661 |
L(r)(E,1)/r! |
Ω |
0.12208029598866 |
Real period |
R |
5.1357973789765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999208 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3465k2 18480dc2 |
Quadratic twists by: -4 -3 |