Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840by |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1331344896000 = 212 · 3 · 53 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-722065,-236404225] |
[a1,a2,a3,a4,a6] |
j |
10164669180562697536/325035375 |
j-invariant |
L |
1.965335408415 |
L(r)(E,1)/r! |
Ω |
0.16377795038972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bo4 127680dk1 |
Quadratic twists by: -4 8 |