Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550a |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
222048843750 = 2 · 39 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7467,249191] |
[a1,a2,a3,a4,a6] |
Generators |
[19:328:1] |
Generators of the group modulo torsion |
j |
149721291/722 |
j-invariant |
L |
3.3613571774442 |
L(r)(E,1)/r! |
Ω |
1.0006689143933 |
Real period |
R |
0.83977755506729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400dm2 8550s2 342d2 |
Quadratic twists by: -4 -3 5 |