Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3168u |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
457275456 = 26 · 310 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309,1820] |
[a1,a2,a3,a4,a6] |
Generators |
[5:20:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
3.7107745074984 |
L(r)(E,1)/r! |
Ω |
1.6019585054163 |
Real period |
R |
2.3163986426315 |
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 |
3168m1 6336bc2 1056c1 79200w1 |
Quadratic twists by: -4 8 -3 5 |