Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686dd |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
6.3059136494927E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-171743972,-866318323872] |
[a1,a2,a3,a4,a6] |
j |
986551739719628473/111045168 |
j-invariant |
L |
6.672662584865 |
L(r)(E,1)/r! |
Ω |
0.041704141157875 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1014e4 3822m3 |
Quadratic twists by: -7 13 |