Atkin-Lehner |
2+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1984b |
Isogeny class |
Conductor |
1984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
484190978048 = 219 · 314 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1964,-1232] |
[a1,a2,a3,a4,a6] |
Generators |
[54:224:1] |
Generators of the group modulo torsion |
j |
3196010817/1847042 |
j-invariant |
L |
3.1937522979254 |
L(r)(E,1)/r! |
Ω |
0.78399803951905 |
Real period |
R |
2.0368369159983 |
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 |
1984j4 62a3 17856q4 49600a3 |
Quadratic twists by: -4 8 -3 5 |