Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
26775t |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-17481173677734375 = -1 · 37 · 59 · 72 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,64458,-905009] |
[a1,a2,a3,a4,a6] |
j |
2600176603751/1534698375 |
j-invariant |
L |
0.91240846130033 |
L(r)(E,1)/r! |
Ω |
0.2281021153251 |
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 |
8925e1 5355r1 |
Quadratic twists by: -3 5 |