Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bw |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2801664000000 = 220 · 32 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25441,-1551359] |
[a1,a2,a3,a4,a6] |
Generators |
[205:1344:1] |
Generators of the group modulo torsion |
j |
6947097508441/10687500 |
j-invariant |
L |
4.1094534571466 |
L(r)(E,1)/r! |
Ω |
0.3780547631689 |
Real period |
R |
2.717498797463 |
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 |
18240bc2 4560bb2 54720ex2 91200if2 |
Quadratic twists by: -4 8 -3 5 |