Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bd |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.581369125625E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30414675,-64277270750] |
[a1,a2,a3,a4,a6] |
Generators |
[2809905707:118561234302:389017] |
Generators of the group modulo torsion |
j |
266763091319403556/1355769140625 |
j-invariant |
L |
6.3145554155451 |
L(r)(E,1)/r! |
Ω |
0.064307499136615 |
Real period |
R |
12.274142787029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003339 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41400bi2 27600s2 16560q2 |
Quadratic twists by: -4 -3 5 |