Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5568bd |
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 |
[2:3:1] |
Generators of the group modulo torsion |
j |
-87808/87 |
j-invariant |
L |
4.0972001944126 |
L(r)(E,1)/r! |
Ω |
3.0942892100538 |
Real period |
R |
1.3241167571215 |
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 |
5568c1 1392l1 16704dd1 |
Quadratic twists by: -4 8 -3 |