Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112bg |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
5.0507896160863E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3513904,-2513329324] |
[a1,a2,a3,a4,a6] |
Generators |
[53759:12456990:1] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
4.8858898220498 |
L(r)(E,1)/r! |
Ω |
0.11033878614527 |
Real period |
R |
4.4280800910907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1014e2 32448cg2 24336bs2 624i2 |
Quadratic twists by: -4 8 -3 13 |