Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710bg |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
540799676010000 = 24 · 312 · 54 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89258,-10180519] |
[a1,a2,a3,a4,a6] |
Generators |
[831:21697:1] |
Generators of the group modulo torsion |
j |
107878047248536921/741837690000 |
j-invariant |
L |
8.0562678487871 |
L(r)(E,1)/r! |
Ω |
0.2763236908383 |
Real period |
R |
3.6443979090005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9570l2 |
Quadratic twists by: -3 |