Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686dk |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
43449447960828 = 22 · 38 · 73 · 136 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23241,1324413] |
[a1,a2,a3,a4,a6] |
j |
838561807/26244 |
j-invariant |
L |
10.208799363619 |
L(r)(E,1)/r! |
Ω |
0.63804996026743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49686cn2 294g2 |
Quadratic twists by: -7 13 |