Atkin-Lehner |
2+ 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4422d |
Isogeny class |
Conductor |
4422 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-294867617413957632 = -1 · 211 · 310 · 112 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-239059,52004654] |
[a1,a2,a3,a4,a6] |
j |
-1510902347997726457129/294867617413957632 |
j-invariant |
L |
2.9487657280402 |
L(r)(E,1)/r! |
Ω |
0.29487657280402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35376u2 13266r2 110550bk2 48642z2 |
Quadratic twists by: -4 -3 5 -11 |