Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080bx |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.332775296E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-203011681,1099469869825] |
[a1,a2,a3,a4,a6] |
Generators |
[18942467916199305700057104:-20953311797119760008984375:2111822065559958120433] |
Generators of the group modulo torsion |
j |
3529773792266261468365081/50841342773437500000 |
j-invariant |
L |
4.9707654560185 |
L(r)(E,1)/r! |
Ω |
0.070956954353788 |
Real period |
R |
35.026626363038 |
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 |
22080x2 5520be2 66240fn2 110400hv2 |
Quadratic twists by: -4 8 -3 5 |