Atkin-Lehner |
2+ 3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710d |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-280469597760 = -1 · 26 · 33 · 5 · 113 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-480,25920] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:104:1] |
Generators of the group modulo torsion |
j |
-453515880987/10387762880 |
j-invariant |
L |
4.5165588540998 |
L(r)(E,1)/r! |
Ω |
0.819193102593 |
Real period |
R |
1.3783559821865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28710x2 |
Quadratic twists by: -3 |