Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576p |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43902922752 = 212 · 37 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -2 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,109280] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:468:1] |
Generators of the group modulo torsion |
j |
3010936384/14703 |
j-invariant |
L |
5.5279614671835 |
L(r)(E,1)/r! |
Ω |
1.1454125538626 |
Real period |
R |
0.60327187785271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576bn2 36192y2 |
Quadratic twists by: -4 -3 |