Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cd |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
92410430474944512 = 225 · 34 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3531169,-2552810687] |
[a1,a2,a3,a4,a6] |
Generators |
[-1088:63:1] |
Generators of the group modulo torsion |
j |
18575453384550358633/352517816448 |
j-invariant |
L |
3.0522339184062 |
L(r)(E,1)/r! |
Ω |
0.11013374649125 |
Real period |
R |
2.3094903663707 |
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 |
22848x2 5712w2 68544et2 |
Quadratic twists by: -4 8 -3 |