Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520fi |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.4686223792538E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-302033388,-2020368155312] |
[a1,a2,a3,a4,a6] |
j |
15944875212653044225849/1291776000000 |
j-invariant |
L |
2.6074639182502 |
L(r)(E,1)/r! |
Ω |
0.036214777244326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520bm4 20880ck4 27840eb4 |
Quadratic twists by: -4 8 -3 |