Atkin-Lehner |
3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13083g |
Isogeny class |
Conductor |
13083 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2544 |
Modular degree for the optimal curve |
Δ |
13083 = 3 · 72 · 89 |
Discriminant |
Eigenvalues |
1 3- 2 7- 5 6 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-180,-941] |
[a1,a2,a3,a4,a6] |
j |
13057865737/267 |
j-invariant |
L |
5.217126472577 |
L(r)(E,1)/r! |
Ω |
1.3042816181443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39249j1 13083a1 |
Quadratic twists by: -3 -7 |