Atkin-Lehner |
2- 3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bj |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3188527902 = 2 · 310 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2591906,-1605468013] |
[a1,a2,a3,a4,a6] |
Generators |
[15894:255461:8] [22334:897851:8] |
Generators of the group modulo torsion |
j |
2641519176325877984473/4373838 |
j-invariant |
L |
13.069765218317 |
L(r)(E,1)/r! |
Ω |
0.11898569618672 |
Real period |
R |
54.921581489172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142i4 |
Quadratic twists by: -3 |