Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
22736n |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
24455932928 = 210 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212219,-37629158] |
[a1,a2,a3,a4,a6] |
Generators |
[6585508104713970:-139292192530332512:8433606238875] |
Generators of the group modulo torsion |
j |
8773811642628/203 |
j-invariant |
L |
5.9603042432088 |
L(r)(E,1)/r! |
Ω |
0.22243518699812 |
Real period |
R |
26.795689673231 |
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 |
11368n3 90944cy4 3248c3 |
Quadratic twists by: -4 8 -7 |