Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
45504bx |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-60388540416 = -1 · 220 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,10640] |
[a1,a2,a3,a4,a6] |
j |
103823/316 |
j-invariant |
L |
1.5647465181644 |
L(r)(E,1)/r! |
Ω |
0.78237325918517 |
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 |
45504p1 11376r1 5056v1 |
Quadratic twists by: -4 8 -3 |