Atkin-Lehner |
2+ 3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5658c |
Isogeny class |
Conductor |
5658 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2945192688 = -1 · 24 · 32 · 233 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,90,2628] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:39:1] |
Generators of the group modulo torsion |
j |
79229972375/2945192688 |
j-invariant |
L |
2.8795586088504 |
L(r)(E,1)/r! |
Ω |
1.0788315572616 |
Real period |
R |
0.44485761616634 |
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 |
45264r1 16974j1 |
Quadratic twists by: -4 -3 |