Atkin-Lehner |
2+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832j |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3981565067264 = 215 · 414 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4076,28560] |
[a1,a2,a3,a4,a6] |
j |
228547409544/121507723 |
j-invariant |
L |
2.7424989965435 |
L(r)(E,1)/r! |
Ω |
0.68562461246485 |
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 |
112832m4 56416k3 |
Quadratic twists by: -4 8 |