Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1984j |
Isogeny class |
Conductor |
1984 |
Conductor |
∏ cp |
16 |
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 |
[-978:4256:27] |
Generators of the group modulo torsion |
j |
3196010817/1847042 |
j-invariant |
L |
3.1976448954871 |
L(r)(E,1)/r! |
Ω |
0.79164434270021 |
Real period |
R |
4.0392442957152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1984b3 496f4 17856ce3 49600bw3 |
Quadratic twists by: -4 8 -3 5 |