Atkin-Lehner |
2+ 3- 5- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39990h |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
51072 |
Modular degree for the optimal curve |
Δ |
40114128960 = 26 · 37 · 5 · 31 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6948,-223262] |
[a1,a2,a3,a4,a6] |
j |
37086281067923641/40114128960 |
j-invariant |
L |
3.6607353637958 |
L(r)(E,1)/r! |
Ω |
0.52296219482999 |
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 |
119970bu1 |
Quadratic twists by: -3 |