Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080q |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5501897932800 = 218 · 3 · 52 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26305,-1629503] |
[a1,a2,a3,a4,a6] |
j |
7679186557489/20988075 |
j-invariant |
L |
2.9995073562116 |
L(r)(E,1)/r! |
Ω |
0.37493841952645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080dd4 345d3 66240ce4 110400ek4 |
Quadratic twists by: -4 8 -3 5 |