Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080cd |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-275094896640 = -1 · 216 · 3 · 5 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,575,-24863] |
[a1,a2,a3,a4,a6] |
Generators |
[32:159:1] |
Generators of the group modulo torsion |
j |
320251964/4197615 |
j-invariant |
L |
3.8253392275183 |
L(r)(E,1)/r! |
Ω |
0.47952679869808 |
Real period |
R |
3.9886605273199 |
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 |
22080br3 5520e4 66240ff3 110400iq3 |
Quadratic twists by: -4 8 -3 5 |