Atkin-Lehner |
2+ 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808m |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
313668288 = 26 · 310 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80679,-8820412] |
[a1,a2,a3,a4,a6] |
j |
1244794697213248/6723 |
j-invariant |
L |
0.56655153896016 |
L(r)(E,1)/r! |
Ω |
0.28327576964376 |
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 |
47808x1 23904k4 15936f1 |
Quadratic twists by: -4 8 -3 |