Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384bx |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1175247470592 = 214 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3409,57265] |
[a1,a2,a3,a4,a6] |
Generators |
[16:81:1] |
Generators of the group modulo torsion |
j |
267492843088/71731413 |
j-invariant |
L |
2.8041938420416 |
L(r)(E,1)/r! |
Ω |
0.80917301562165 |
Real period |
R |
1.7327529395801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384be2 18096m2 |
Quadratic twists by: -4 8 |