Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8874i |
Isogeny class |
Conductor |
8874 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
42690613248 = 212 · 36 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2489,-46119] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:42:1] |
Generators of the group modulo torsion |
j |
2338337977417/58560512 |
j-invariant |
L |
7.0747436258327 |
L(r)(E,1)/r! |
Ω |
0.67697111864916 |
Real period |
R |
0.87088201044058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70992s1 986c1 |
Quadratic twists by: -4 -3 |