Atkin-Lehner |
13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48841a |
Isogeny class |
Conductor |
48841 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33670648798035769 = 136 · 178 |
Discriminant |
Eigenvalues |
1 0 -2 4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-277783,-55586400] |
[a1,a2,a3,a4,a6] |
Generators |
[48864:1953544:27] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
6.0677282647231 |
L(r)(E,1)/r! |
Ω |
0.20813569207127 |
Real period |
R |
7.2881880617662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999987 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
289a2 2873a2 |
Quadratic twists by: 13 17 |