Atkin-Lehner |
3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8487k |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1280713761 = 310 · 232 · 41 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-159404,24535878] |
[a1,a2,a3,a4,a6] |
Generators |
[251:414:1] |
Generators of the group modulo torsion |
j |
614456687196531577/1756809 |
j-invariant |
L |
2.854659982101 |
L(r)(E,1)/r! |
Ω |
1.0107839243412 |
Real period |
R |
2.8242039800561 |
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 |
2829a2 |
Quadratic twists by: -3 |