Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9900l |
Isogeny class |
Conductor |
9900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16539187500000000 = 28 · 37 · 512 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56249175,162376190750] |
[a1,a2,a3,a4,a6] |
Generators |
[-8386:210562:1] |
Generators of the group modulo torsion |
j |
6749703004355978704/5671875 |
j-invariant |
L |
4.0276134782176 |
L(r)(E,1)/r! |
Ω |
0.24395714624466 |
Real period |
R |
8.2547560918309 |
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 |
39600dv4 3300e4 1980d4 108900bw4 |
Quadratic twists by: -4 -3 5 -11 |