Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608n |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.4552009512048E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285981,-173839498] |
[a1,a2,a3,a4,a6] |
Generators |
[314220834212142:-6731485873585325:588901918968] |
Generators of the group modulo torsion |
j |
6930072277846264/38987508337749 |
j-invariant |
L |
9.2266652058531 |
L(r)(E,1)/r! |
Ω |
0.1113677136829 |
Real period |
R |
20.712163481526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039448 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112608bo2 37536q2 |
Quadratic twists by: -4 -3 |