Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160et |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
228562145280000 = 215 · 313 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3674160012,85720602100016] |
[a1,a2,a3,a4,a6] |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
2.2035552923352 |
L(r)(E,1)/r! |
Ω |
0.13772220577095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20160fi3 10080n3 6720bi3 100800nv4 |
Quadratic twists by: -4 8 -3 5 |