Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
13944f |
Isogeny class |
Conductor |
13944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-27888 = -1 · 24 · 3 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-15] |
[a1,a2,a3,a4,a6] |
j |
-4000000/1743 |
j-invariant |
L |
2.7516399326802 |
L(r)(E,1)/r! |
Ω |
1.3758199663401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27888e1 111552l1 41832v1 97608e1 |
Quadratic twists by: -4 8 -3 -7 |