Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31768d |
Isogeny class |
Conductor |
31768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2104331395032064 = 210 · 112 · 198 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32851,617310] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:22960:27] |
Generators of the group modulo torsion |
j |
81385668/43681 |
j-invariant |
L |
2.5980704197641 |
L(r)(E,1)/r! |
Ω |
0.40577877934381 |
Real period |
R |
6.4026769067751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63536f2 1672c2 |
Quadratic twists by: -4 -19 |