Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bs |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8381183664683700 = 22 · 320 · 52 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80033,7539581] |
[a1,a2,a3,a4,a6] |
Generators |
[243:1426:1] |
Generators of the group modulo torsion |
j |
77767544447941321/11496822585300 |
j-invariant |
L |
7.1822585682652 |
L(r)(E,1)/r! |
Ω |
0.39679074923723 |
Real period |
R |
2.2626090017381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770h2 |
Quadratic twists by: -3 |