Atkin-Lehner |
3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8109c |
Isogeny class |
Conductor |
8109 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
12928365207 = 315 · 17 · 53 |
Discriminant |
Eigenvalues |
-1 3- 0 -1 0 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11705,-484446] |
[a1,a2,a3,a4,a6] |
j |
243262773015625/17734383 |
j-invariant |
L |
0.91799749120274 |
L(r)(E,1)/r! |
Ω |
0.45899874560137 |
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 |
129744v1 2703a1 |
Quadratic twists by: -4 -3 |