Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080cm |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
45219840000 = 220 · 3 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94241,11104095] |
[a1,a2,a3,a4,a6] |
Generators |
[5802:441375:1] |
Generators of the group modulo torsion |
j |
353108405631241/172500 |
j-invariant |
L |
6.5480760712699 |
L(r)(E,1)/r! |
Ω |
0.92977293497313 |
Real period |
R |
7.0426615197818 |
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 |
22080h4 5520r3 66240fu4 110400gi4 |
Quadratic twists by: -4 8 -3 5 |