Atkin-Lehner |
3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48645j |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-268190125026670125 = -1 · 38 · 53 · 236 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53222,25373594] |
[a1,a2,a3,a4,a6] |
Generators |
[9366:1673398:343] [-318:3331:1] |
Generators of the group modulo torsion |
j |
-22869786255009049/367887688651125 |
j-invariant |
L |
6.4159625664587 |
L(r)(E,1)/r! |
Ω |
0.26171505844733 |
Real period |
R |
0.68097412299824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16215c2 |
Quadratic twists by: -3 |