Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13224i |
Isogeny class |
Conductor |
13224 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-2973929822963712 = -1 · 211 · 314 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22032,2309472] |
[a1,a2,a3,a4,a6] |
Generators |
[243:4698:1] |
Generators of the group modulo torsion |
j |
577478495614750/1452114171369 |
j-invariant |
L |
4.7929440946886 |
L(r)(E,1)/r! |
Ω |
0.31517971305578 |
Real period |
R |
1.0862156904116 |
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 |
26448d2 105792b2 39672f2 |
Quadratic twists by: -4 8 -3 |