Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
41184r |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
199484283727872 = 212 · 39 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11- 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20172,868480] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:1012:1] [-82:1404:1] |
Generators of the group modulo torsion |
j |
304006671424/66806883 |
j-invariant |
L |
7.0162844009135 |
L(r)(E,1)/r! |
Ω |
0.53295262937181 |
Real period |
R |
0.41140408254853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184m2 82368dx1 13728j2 |
Quadratic twists by: -4 8 -3 |