Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cc |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.8491673526279E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3858104,-2886788268] |
[a1,a2,a3,a4,a6] |
Generators |
[-1082:4704:1] |
Generators of the group modulo torsion |
j |
1550549616695674282297/19163006232001632 |
j-invariant |
L |
5.2664149284211 |
L(r)(E,1)/r! |
Ω |
0.10780295236215 |
Real period |
R |
1.5266322758943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006i3 |
Quadratic twists by: -4 |