Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600a |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.48718980881E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3547008,-1778893488] |
[a1,a2,a3,a4,a6] |
Generators |
[-81940968:-374329836:148877] |
Generators of the group modulo torsion |
j |
308453964046598884/92949363050625 |
j-invariant |
L |
4.9532088555921 |
L(r)(E,1)/r! |
Ω |
0.11257752125223 |
Real period |
R |
10.999551243659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13800n3 110400hr4 82800bh4 5520k3 |
Quadratic twists by: -4 8 -3 5 |