Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920bu |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
Δ |
4.60632332601E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77760480,261874914228] |
[a1,a2,a3,a4,a6] |
j |
12695229840756170655249121/112459065576416015625 |
j-invariant |
L |
3.3888446669688 |
L(r)(E,1)/r! |
Ω |
0.094134574082492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1995d3 127680dl3 95760dd3 |
Quadratic twists by: -4 8 -3 |