Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090de |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-1.8624264854845E+34 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-129681120995,19136444985956025] |
[a1,a2,a3,a4,a6] |
Generators |
[-53360:-160921445:1] |
Generators of the group modulo torsion |
j |
-1629247127728109256861881401729/125809119536174660320875000 |
j-invariant |
L |
14.492585251492 |
L(r)(E,1)/r! |
Ω |
0.012005628075833 |
Real period |
R |
8.3829810927381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bc8 |
Quadratic twists by: -23 |