Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240cm |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-32275169280 = -1 · 222 · 34 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-641,-10881] |
[a1,a2,a3,a4,a6] |
Generators |
[37:132:1] |
Generators of the group modulo torsion |
j |
-111284641/123120 |
j-invariant |
L |
4.4933584913971 |
L(r)(E,1)/r! |
Ω |
0.45463766956902 |
Real period |
R |
2.4708459022196 |
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 |
18240k1 4560u1 54720eq1 91200fm1 |
Quadratic twists by: -4 8 -3 5 |