Atkin-Lehner |
2+ 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194k |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
731011975848 = 23 · 312 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10746,429484] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:893:1] |
Generators of the group modulo torsion |
j |
188260594363297/1002759912 |
j-invariant |
L |
4.8214459082703 |
L(r)(E,1)/r! |
Ω |
0.90619756381563 |
Real period |
R |
1.3301310058617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398y2 |
Quadratic twists by: -3 |