Atkin-Lehner |
2+ 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554f |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.7884886761962E+22 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3236376,-6813650458] |
[a1,a2,a3,a4,a6] |
Generators |
[622932:59855917:64] |
Generators of the group modulo torsion |
j |
-3748870469290505973765625/17884886761961813181952 |
j-invariant |
L |
2.164461225798 |
L(r)(E,1)/r! |
Ω |
0.050926422337665 |
Real period |
R |
10.62543335288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68432j3 76986bo3 59878i3 111202s3 |
Quadratic twists by: -4 -3 -7 13 |