Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68112w |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
181876943102976 = 210 · 38 · 114 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47019,3870250] |
[a1,a2,a3,a4,a6] |
j |
15399846504868/243640881 |
j-invariant |
L |
4.5626440818385 |
L(r)(E,1)/r! |
Ω |
0.5703305115978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34056d2 22704l2 |
Quadratic twists by: -4 -3 |