Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19608g |
Isogeny class |
Conductor |
19608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12303157248 = -1 · 211 · 32 · 192 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,112,-5280] |
[a1,a2,a3,a4,a6] |
Generators |
[698:6579:8] |
Generators of the group modulo torsion |
j |
75190750/6007401 |
j-invariant |
L |
6.5462036616646 |
L(r)(E,1)/r! |
Ω |
0.60281056302387 |
Real period |
R |
5.4297353623226 |
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 |
39216c2 58824a2 |
Quadratic twists by: -4 -3 |