Atkin-Lehner |
2+ 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490g |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3018856099054306500 = 22 · 312 · 53 · 118 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-363694,-11813524] |
[a1,a2,a3,a4,a6] |
j |
5320229962885185428569/3018856099054306500 |
j-invariant |
L |
2.5185239904951 |
L(r)(E,1)/r! |
Ω |
0.20987699920792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470bn3 87450bo3 |
Quadratic twists by: -3 5 |