Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080m |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
88851686400000000 = 216 · 38 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-540705,-152180703] |
[a1,a2,a3,a4,a6] |
j |
266763091319403556/1355769140625 |
j-invariant |
L |
1.4089067157547 |
L(r)(E,1)/r! |
Ω |
0.17611333946934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22080cz2 2760h2 66240bq2 110400dl2 |
Quadratic twists by: -4 8 -3 5 |