Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600a |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.1952417983876E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9677992,-11935693488] |
[a1,a2,a3,a4,a6] |
Generators |
[11332155106140722:-11909148212659190706:10260751717] |
Generators of the group modulo torsion |
j |
3132776881711582558/3735130619961225 |
j-invariant |
L |
4.9532088555921 |
L(r)(E,1)/r! |
Ω |
0.056288760626114 |
Real period |
R |
21.999102487318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13800n6 110400hr5 82800bh5 5520k6 |
Quadratic twists by: -4 8 -3 5 |