Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758bi |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-507635631846 = -1 · 2 · 315 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,841,32757] |
[a1,a2,a3,a4,a6] |
j |
1843623047/14211126 |
j-invariant |
L |
2.7108798929481 |
L(r)(E,1)/r! |
Ω |
0.67771997323703 |
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 |
5586e1 16758z1 |
Quadratic twists by: -3 -7 |