Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bf |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2.7870886458149E+27 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 6 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-361992024,758924058096] |
[a1,a2,a3,a4,a6] |
j |
222165413800219579417/118033833938006016 |
j-invariant |
L |
3.8929802686663 |
L(r)(E,1)/r! |
Ω |
0.039724288455433 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998k2 119952eg2 39984dw2 |
Quadratic twists by: -4 -3 -7 |