Atkin-Lehner |
2- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27166c |
Isogeny class |
Conductor |
27166 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
348160 |
Modular degree for the optimal curve |
Δ |
-365273428483047424 = -1 · 216 · 179 · 47 |
Discriminant |
Eigenvalues |
2- 2 2 2 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-414432,106554881] |
[a1,a2,a3,a4,a6] |
j |
-66380929649/3080192 |
j-invariant |
L |
9.5684126974167 |
L(r)(E,1)/r! |
Ω |
0.29901289679427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27166e1 |
Quadratic twists by: 17 |