Atkin-Lehner |
2+ 3- 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986d |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19250118342 = 2 · 38 · 74 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-527913,-147503889] |
[a1,a2,a3,a4,a6] |
j |
22319461736906059153/26406198 |
j-invariant |
L |
1.4169316832202 |
L(r)(E,1)/r! |
Ω |
0.17711646143385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25662u4 |
Quadratic twists by: -3 |