Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9900l |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4404968261718750000 = -1 · 24 · 38 · 518 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3514800,2538300125] |
[a1,a2,a3,a4,a6] |
Generators |
[8690:11475:8] |
Generators of the group modulo torsion |
j |
-26348629355659264/24169921875 |
j-invariant |
L |
4.0276134782176 |
L(r)(E,1)/r! |
Ω |
0.24395714624466 |
Real period |
R |
4.1273780459154 |
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 |
39600dv3 3300e3 1980d3 108900bw3 |
Quadratic twists by: -4 -3 5 -11 |