Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6864y |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
842098802688 = 224 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17072,-863148] |
[a1,a2,a3,a4,a6] |
j |
134351465835313/205590528 |
j-invariant |
L |
2.5062102273307 |
L(r)(E,1)/r! |
Ω |
0.41770170455511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
858e1 27456bo1 20592bc1 75504da1 |
Quadratic twists by: -4 8 -3 -11 |