Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808bs |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
6326375700672 = 26 · 315 · 832 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -4 -6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235947,-44113160] |
[a1,a2,a3,a4,a6] |
Generators |
[-1920748:-33534:6859] |
Generators of the group modulo torsion |
j |
31135768473180736/135596187 |
j-invariant |
L |
2.4375850058902 |
L(r)(E,1)/r! |
Ω |
0.21661875389455 |
Real period |
R |
5.6264403752311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47808ce1 23904n2 15936z1 |
Quadratic twists by: -4 8 -3 |