Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
120984k |
Isogeny class |
Conductor |
120984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-15485952 = -1 · 210 · 3 · 712 |
Discriminant |
Eigenvalues |
2- 3- 4 0 -6 -3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24,192] |
[a1,a2,a3,a4,a6] |
j |
284/3 |
j-invariant |
L |
3.2527405802538 |
L(r)(E,1)/r! |
Ω |
1.6263703283882 |
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 |
120984j1 |
Quadratic twists by: -71 |