Atkin-Lehner |
2- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9044c |
Isogeny class |
Conductor |
9044 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-208952576 = -1 · 28 · 7 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3 1 7+ 4 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-607,5798] |
[a1,a2,a3,a4,a6] |
j |
-96616170576/816221 |
j-invariant |
L |
5.3648605597934 |
L(r)(E,1)/r! |
Ω |
1.7882868532645 |
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 |
36176ba1 81396g1 63308r1 |
Quadratic twists by: -4 -3 -7 |