Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698c |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
-1.6244686990034E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 11+ 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4579610,4239505428] |
[a1,a2,a3,a4,a6] |
j |
-4504796521098875/688933306368 |
j-invariant |
L |
0.86875724010162 |
L(r)(E,1)/r! |
Ω |
0.14479287335027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50094bq1 16698x1 |
Quadratic twists by: -3 -11 |