Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080d |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2696E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,562559,517029505] |
[a1,a2,a3,a4,a6] |
Generators |
[1233480:-122910319:125] |
Generators of the group modulo torsion |
j |
75108181893694559/484313964843750 |
j-invariant |
L |
3.3552364098722 |
L(r)(E,1)/r! |
Ω |
0.13452402041977 |
Real period |
R |
12.470770645281 |
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 |
22080cr5 690k6 66240cw5 110400dq5 |
Quadratic twists by: -4 8 -3 5 |