Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1984i |
Isogeny class |
Conductor |
1984 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-31744 = -1 · 210 · 31 |
Discriminant |
Eigenvalues |
2- 0 -1 -3 6 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68,216] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1:1] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
2.7300705239704 |
L(r)(E,1)/r! |
Ω |
3.6797044809114 |
Real period |
R |
0.74192656995493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1984a1 496e1 17856ca1 49600ca1 |
Quadratic twists by: -4 8 -3 5 |