Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860n |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
308947109713304400 = 24 · 38 · 52 · 136 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-625548,188544553] |
[a1,a2,a3,a4,a6] |
Generators |
[-426:19435:1] |
Generators of the group modulo torsion |
j |
2320909044001816576/26487235057725 |
j-invariant |
L |
4.1711983708723 |
L(r)(E,1)/r! |
Ω |
0.3074684837253 |
Real period |
R |
2.2610438640898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992902 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
22620k3 |
Quadratic twists by: -3 |