Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360by |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.620631475E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,676184,122127620] |
[a1,a2,a3,a4,a6] |
Generators |
[611:27636:1] |
Generators of the group modulo torsion |
j |
283811208976796/217529296875 |
j-invariant |
L |
9.5100250790761 |
L(r)(E,1)/r! |
Ω |
0.13557012295524 |
Real period |
R |
4.3842740009085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bn3 2640e4 |
Quadratic twists by: -4 -7 |