Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048bj |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3.1720027146835E+26 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4944209368,-133807094176784] |
[a1,a2,a3,a4,a6] |
j |
3263279883032933444452132257625/77441472526453540753248 |
j-invariant |
L |
1.728411681865 |
L(r)(E,1)/r! |
Ω |
0.018004288347955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006o2 |
Quadratic twists by: -4 |