Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16150c |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1773593000000 = 26 · 56 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3825,63125] |
[a1,a2,a3,a4,a6] |
j |
396255588625/113509952 |
j-invariant |
L |
1.5578401453464 |
L(r)(E,1)/r! |
Ω |
0.77892007267319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200bl1 646e1 |
Quadratic twists by: -4 5 |