Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080u |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-840916441214484480 = -1 · 221 · 320 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,235295,4005217] |
[a1,a2,a3,a4,a6] |
Generators |
[211817814:6673459177:474552] |
Generators of the group modulo torsion |
j |
5495662324535111/3207841648920 |
j-invariant |
L |
5.2399374749054 |
L(r)(E,1)/r! |
Ω |
0.17032349234525 |
Real period |
R |
15.382309870338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080cx3 690e4 66240bd3 110400cv3 |
Quadratic twists by: -4 8 -3 5 |