Atkin-Lehner |
2+ 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65968a |
Isogeny class |
Conductor |
65968 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1692192618518528 = 211 · 72 · 19 · 316 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29792,29792] |
[a1,a2,a3,a4,a6] |
j |
1427931306051266/826265927011 |
j-invariant |
L |
4.7962836995189 |
L(r)(E,1)/r! |
Ω |
0.39969030898086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32984g2 |
Quadratic twists by: -4 |