Atkin-Lehner |
3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905a |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1148827587812E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9735405,-10527965974] |
[a1,a2,a3,a4,a6] |
Generators |
[19275110:520731032:4913] |
Generators of the group modulo torsion |
j |
5184352398160303209603/566419122481953125 |
j-invariant |
L |
4.0252460922758 |
L(r)(E,1)/r! |
Ω |
0.086075246547846 |
Real period |
R |
11.69106756487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58905j2 |
Quadratic twists by: -3 |