Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984g |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6178441459968 = 28 · 33 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109383,-13923770] |
[a1,a2,a3,a4,a6] |
j |
445090032/19 |
j-invariant |
L |
4.7253688568332 |
L(r)(E,1)/r! |
Ω |
0.26252049196482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25992d2 51984h2 2736c2 |
Quadratic twists by: -4 -3 -19 |