Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758bj |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
61323462643968 = 28 · 37 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 0 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16988,-760161] |
[a1,a2,a3,a4,a6] |
j |
6321363049/715008 |
j-invariant |
L |
6.7401640579037 |
L(r)(E,1)/r! |
Ω |
0.42126025361898 |
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 |
5586f1 2394o1 |
Quadratic twists by: -3 -7 |