Atkin-Lehner |
2- 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8772a |
Isogeny class |
Conductor |
8772 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-162246912 = -1 · 28 · 3 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1756,-27752] |
[a1,a2,a3,a4,a6] |
j |
-2340478081744/633777 |
j-invariant |
L |
3.318587534692 |
L(r)(E,1)/r! |
Ω |
0.36873194829911 |
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 |
35088z1 26316f1 |
Quadratic twists by: -4 -3 |