Atkin-Lehner |
2+ 3- 5- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010u |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
95982758568000 = 26 · 38 · 53 · 23 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42859314,108008771220] |
[a1,a2,a3,a4,a6] |
j |
11943506108986415548669729/131663592000 |
j-invariant |
L |
0.60362445595206 |
L(r)(E,1)/r! |
Ω |
0.30181225944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
29670w3 |
Quadratic twists by: -3 |