Atkin-Lehner |
2- 3- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21228c |
Isogeny class |
Conductor |
21228 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-71716361110512 = -1 · 24 · 3 · 29 · 616 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 3 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10162,106149] |
[a1,a2,a3,a4,a6] |
Generators |
[37245:680943:125] |
Generators of the group modulo torsion |
j |
7252680789536000/4482272569407 |
j-invariant |
L |
6.6698314326807 |
L(r)(E,1)/r! |
Ω |
0.38004914520455 |
Real period |
R |
2.9249863764728 |
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 |
84912t2 63684f2 |
Quadratic twists by: -4 -3 |