Atkin-Lehner |
3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18525l |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-4647169921875 = -1 · 3 · 59 · 133 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 1 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-247008,47169269] |
[a1,a2,a3,a4,a6] |
j |
-106669068376969216/297418875 |
j-invariant |
L |
5.3709448581295 |
L(r)(E,1)/r! |
Ω |
0.67136810726618 |
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 |
55575j1 3705d1 |
Quadratic twists by: -3 5 |