Atkin-Lehner |
2- 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368r |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-65357424 = -1 · 24 · 32 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 11- -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6,387] |
[a1,a2,a3,a4,a6] |
Generators |
[9:33:1] |
Generators of the group modulo torsion |
j |
1257728/4084839 |
j-invariant |
L |
4.5523948543102 |
L(r)(E,1)/r! |
Ω |
1.5399806353852 |
Real period |
R |
0.36951721580995 |
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 |
4092e1 65472ck1 49104bg1 |
Quadratic twists by: -4 8 -3 |