Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9009d |
Isogeny class |
Conductor |
9009 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6372497870739 = 314 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6206,145266] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:558:1] [-28:558:1] |
Generators of the group modulo torsion |
j |
36254831403673/8741423691 |
j-invariant |
L |
3.5061573806272 |
L(r)(E,1)/r! |
Ω |
0.70685876201244 |
Real period |
R |
2.4800975591259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3003a3 63063p3 99099cb3 117117bq3 |
Quadratic twists by: -3 -7 -11 13 |