Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230d |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2709395581668750 = 2 · 39 · 55 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-897360,327403466] |
[a1,a2,a3,a4,a6] |
j |
4060063373035399443/137651556250 |
j-invariant |
L |
1.6984785967149 |
L(r)(E,1)/r! |
Ω |
0.42461964917874 |
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 |
22230bc2 111150dh2 |
Quadratic twists by: -3 5 |