Atkin-Lehner |
2+ 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422b |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-2842515641993706 = -1 · 2 · 313 · 73 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -3 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2120302,-1189237562] |
[a1,a2,a3,a4,a6] |
Generators |
[91812639829761:1704180153382721:49552182217] |
Generators of the group modulo torsion |
j |
-1054185895266980838422761/2842515641993706 |
j-invariant |
L |
2.8461233159876 |
L(r)(E,1)/r! |
Ω |
0.06255615273459 |
Real period |
R |
22.748548236838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266br1 114954bb1 |
Quadratic twists by: -3 -7 |