Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600cy |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3415452480000000 = 212 · 36 · 57 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105075,-12804750] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:550:1] |
Generators of the group modulo torsion |
j |
2749884201/73205 |
j-invariant |
L |
5.9098450147842 |
L(r)(E,1)/r! |
Ω |
0.26560141478158 |
Real period |
R |
2.7813504964023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2475j4 4400q4 7920y3 |
Quadratic twists by: -4 -3 5 |