Atkin-Lehner |
2- 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978cd |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
71127971488165284 = 22 · 36 · 78 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-747349,-248406691] |
[a1,a2,a3,a4,a6] |
j |
392379113447076673/604577782116 |
j-invariant |
L |
3.8973563591391 |
L(r)(E,1)/r! |
Ω |
0.16238984829477 |
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 |
7854m2 |
Quadratic twists by: -7 |