Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
13944l |
Isogeny class |
Conductor |
13944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1784832 = 210 · 3 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37184,2747472] |
[a1,a2,a3,a4,a6] |
j |
5552694170037508/1743 |
j-invariant |
L |
3.1506254014726 |
L(r)(E,1)/r! |
Ω |
1.5753127007363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27888b4 111552y4 41832k4 97608r4 |
Quadratic twists by: -4 8 -3 -7 |