Atkin-Lehner |
2+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048j |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16515072 |
Modular degree for the optimal curve |
Δ |
-1.4168478963803E+24 |
Discriminant |
Eigenvalues |
2+ -3 1 4 2 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15163372,-61613766992] |
[a1,a2,a3,a4,a6] |
j |
-1470859395018611591889/5404845796128456704 |
j-invariant |
L |
2.2427963505417 |
L(r)(E,1)/r! |
Ω |
0.035043693399012 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048ba1 2314d1 |
Quadratic twists by: -4 8 |