Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240c |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-21210610091950080 = -1 · 236 · 32 · 5 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12959,-6988319] |
[a1,a2,a3,a4,a6] |
Generators |
[1810901379:43246747648:3176523] |
Generators of the group modulo torsion |
j |
918046641959/80912056320 |
j-invariant |
L |
4.1227051513055 |
L(r)(E,1)/r! |
Ω |
0.18195308176702 |
Real period |
R |
11.329033592804 |
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 |
18240cn3 570f3 54720bs3 91200cy3 |
Quadratic twists by: -4 8 -3 5 |