Atkin-Lehner |
3+ 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11571b |
Isogeny class |
Conductor |
11571 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
85762944477 = 33 · 78 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-79394,-8643598] |
[a1,a2,a3,a4,a6] |
j |
55346110126354718497/85762944477 |
j-invariant |
L |
0.56883019456057 |
L(r)(E,1)/r! |
Ω |
0.28441509728029 |
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 |
34713c4 80997u4 |
Quadratic twists by: -3 -7 |