Atkin-Lehner |
2- 3+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566p |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-528911208 = -1 · 23 · 34 · 7 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1134,-15213] |
[a1,a2,a3,a4,a6] |
j |
-161282338400737/528911208 |
j-invariant |
L |
2.4676313217388 |
L(r)(E,1)/r! |
Ω |
0.41127188695647 |
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 |
108528bi1 40698k1 94962bx1 |
Quadratic twists by: -4 -3 -7 |