Atkin-Lehner |
2+ 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47850bb |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
7488000 |
Modular degree for the optimal curve |
Δ |
1.6690792828278E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15637876,-13424329102] |
[a1,a2,a3,a4,a6] |
j |
27066801716613381357361/10682107410097677312 |
j-invariant |
L |
2.0419018965919 |
L(r)(E,1)/r! |
Ω |
0.078534688356345 |
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 |
1914j1 |
Quadratic twists by: 5 |