Atkin-Lehner |
2+ 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554f |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-2.5257484659756E+19 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,353119,227939916] |
[a1,a2,a3,a4,a6] |
Generators |
[408:20771:1] |
Generators of the group modulo torsion |
j |
4869548973083422640375/25257484659756178648 |
j-invariant |
L |
2.164461225798 |
L(r)(E,1)/r! |
Ω |
0.152779267013 |
Real period |
R |
3.5418111176267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68432j2 76986bo2 59878i2 111202s2 |
Quadratic twists by: -4 -3 -7 13 |