Atkin-Lehner |
2+ 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048p |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.2811202168797E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-741944,-88019340] |
[a1,a2,a3,a4,a6] |
j |
22055033738324169074/11138282308982829 |
j-invariant |
L |
0.68619809718704 |
L(r)(E,1)/r! |
Ω |
0.17154952450844 |
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 |
24024g3 |
Quadratic twists by: -4 |