Atkin-Lehner |
2- 3- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
52452k |
Isogeny class |
Conductor |
52452 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3897591795521136 = -1 · 24 · 36 · 31 · 476 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27951,-2405639] |
[a1,a2,a3,a4,a6] |
Generators |
[144515:3146697:343] |
Generators of the group modulo torsion |
j |
207046670851328/334155675199 |
j-invariant |
L |
5.0049907036076 |
L(r)(E,1)/r! |
Ω |
0.23244452253556 |
Real period |
R |
5.3829948851939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5828e2 |
Quadratic twists by: -3 |