Atkin-Lehner |
2- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48776d |
Isogeny class |
Conductor |
48776 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
745812866899982336 = 211 · 75 · 136 · 672 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-668032,-206231520] |
[a1,a2,a3,a4,a6] |
j |
16098529562447641346/364166438916007 |
j-invariant |
L |
0.83611933933073 |
L(r)(E,1)/r! |
Ω |
0.16722386768634 |
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 |
97552a2 |
Quadratic twists by: -4 |