Atkin-Lehner |
2- 3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124m |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
2.3714965037364E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25996116,45318071185] |
[a1,a2,a3,a4,a6] |
j |
166571846396273551065088/20331760148631367821 |
j-invariant |
L |
1.1471414102053 |
L(r)(E,1)/r! |
Ω |
0.095595117566047 |
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 |
15708e1 |
Quadratic twists by: -3 |