Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5478n |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5001414 = -1 · 2 · 3 · 112 · 832 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13,-105] |
[a1,a2,a3,a4,a6] |
Generators |
[33108:736671:64] |
Generators of the group modulo torsion |
j |
241804367/5001414 |
j-invariant |
L |
6.6278937608373 |
L(r)(E,1)/r! |
Ω |
1.1796644118699 |
Real period |
R |
5.6184569900957 |
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 |
43824u2 16434j2 60258p2 |
Quadratic twists by: -4 -3 -11 |