Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4392f |
Isogeny class |
Conductor |
4392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
672217595136 = 28 · 316 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 4 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2199,-4390] |
[a1,a2,a3,a4,a6] |
j |
6301325392/3601989 |
j-invariant |
L |
3.0209343438934 |
L(r)(E,1)/r! |
Ω |
0.75523358597335 |
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 |
8784f2 35136p2 1464a2 109800v2 |
Quadratic twists by: -4 8 -3 5 |