Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5568c |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-89088 = -1 · 210 · 3 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 -1 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9,-15] |
[a1,a2,a3,a4,a6] |
Generators |
[8:19:1] |
Generators of the group modulo torsion |
j |
-87808/87 |
j-invariant |
L |
2.9747918070525 |
L(r)(E,1)/r! |
Ω |
1.3130936289435 |
Real period |
R |
2.265483390888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5568bd1 348b1 16704bi1 |
Quadratic twists by: -4 8 -3 |