Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bx |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0111284586526E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-187069408,-984628400384] |
[a1,a2,a3,a4,a6] |
Generators |
[-232041170878725082:-245449353990572418:29558086641559] |
Generators of the group modulo torsion |
j |
25769813722208652671875/3599030964436992 |
j-invariant |
L |
4.4900529772781 |
L(r)(E,1)/r! |
Ω |
0.040822772908998 |
Real period |
R |
27.497231016177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000239818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162z2 121296cx2 |
Quadratic twists by: -4 -19 |