Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16758z |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-59722824451050054 = -1 · 2 · 315 · 78 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,41224,-11318191] |
[a1,a2,a3,a4,a6] |
j |
1843623047/14211126 |
j-invariant |
L |
4.1875270046069 |
L(r)(E,1)/r! |
Ω |
0.17448029185862 |
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 |
5586p1 16758bi1 |
Quadratic twists by: -3 -7 |