Atkin-Lehner |
3- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
16185f |
Isogeny class |
Conductor |
16185 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2756160 |
Modular degree for the optimal curve |
Δ |
-9.8726772440918E+18 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 6 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-114482020,-471508160744] |
[a1,a2,a3,a4,a6] |
j |
-165934070665534339137228722176/9872677244091796875 |
j-invariant |
L |
2.0308035239622 |
L(r)(E,1)/r! |
Ω |
0.023077312772298 |
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 |
48555d1 80925f1 |
Quadratic twists by: -3 5 |