Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920d |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
160088400 = 24 · 38 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138,-137] |
[a1,a2,a3,a4,a6] |
j |
24918016/13725 |
j-invariant |
L |
2.9803877409326 |
L(r)(E,1)/r! |
Ω |
1.4901938705096 |
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 |
21960c1 14640m1 |
Quadratic twists by: -4 -3 |