Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bg |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
20424130560 = 215 · 38 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4161,-104481] |
[a1,a2,a3,a4,a6] |
Generators |
[105:792:1] |
Generators of the group modulo torsion |
j |
243204324488/623295 |
j-invariant |
L |
6.2273534746513 |
L(r)(E,1)/r! |
Ω |
0.59450884276909 |
Real period |
R |
2.6186967403402 |
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 |
18240b3 9120n2 54720cd4 91200w4 |
Quadratic twists by: -4 8 -3 5 |