Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
39648i |
Isogeny class |
Conductor |
39648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-112283136 = -1 · 29 · 32 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,504] |
[a1,a2,a3,a4,a6] |
Generators |
[9:36:1] |
Generators of the group modulo torsion |
j |
830584/219303 |
j-invariant |
L |
4.0357316137647 |
L(r)(E,1)/r! |
Ω |
1.4508701256315 |
Real period |
R |
2.7815939845119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39648k2 79296ci2 118944l2 |
Quadratic twists by: -4 8 -3 |