Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240b |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2994278400 = 212 · 34 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-361,361] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:36:1] |
Generators of the group modulo torsion |
j |
1273760704/731025 |
j-invariant |
L |
3.6430802202904 |
L(r)(E,1)/r! |
Ω |
1.2179817106689 |
Real period |
R |
1.4955397886434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18240bg2 9120j1 54720bo2 91200co2 |
Quadratic twists by: -4 8 -3 5 |