Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13340b |
Isogeny class |
Conductor |
13340 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7.0603378035359E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -7 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20339419,19698944119] |
[a1,a2,a3,a4,a6] |
Generators |
[785482:246390375:8] |
Generators of the group modulo torsion |
j |
3634957643593687611539456/2757944454506220671875 |
j-invariant |
L |
2.9161396783506 |
L(r)(E,1)/r! |
Ω |
0.057863418674692 |
Real period |
R |
8.3994912650689 |
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 |
53360j2 120060k2 66700a2 |
Quadratic twists by: -4 -3 5 |