Atkin-Lehner |
2- 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9912i |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
2220288 = 28 · 3 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,228] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:14:1] |
Generators of the group modulo torsion |
j |
137842000/8673 |
j-invariant |
L |
3.905486824047 |
L(r)(E,1)/r! |
Ω |
2.5536660623769 |
Real period |
R |
0.76468236814252 |
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 |
19824h1 79296o1 29736e1 69384z1 |
Quadratic twists by: -4 8 -3 -7 |