Atkin-Lehner |
2- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27166a |
Isogeny class |
Conductor |
27166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-4537862972 = -1 · 22 · 176 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 0 -2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,90,-3247] |
[a1,a2,a3,a4,a6] |
j |
3375/188 |
j-invariant |
L |
1.3162258062584 |
L(r)(E,1)/r! |
Ω |
0.65811290312883 |
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 |
94a1 |
Quadratic twists by: 17 |