Atkin-Lehner |
2- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
16340b |
Isogeny class |
Conductor |
16340 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-9668051200 = -1 · 28 · 52 · 19 · 433 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 -6 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,404,-3420] |
[a1,a2,a3,a4,a6] |
j |
28415310896/37765825 |
j-invariant |
L |
1.378450262142 |
L(r)(E,1)/r! |
Ω |
0.689225131071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
65360d1 81700e1 |
Quadratic twists by: -4 5 |