Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392r |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5929018017441792 = 211 · 3 · 7 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160944,-24520692] |
[a1,a2,a3,a4,a6] |
j |
46640233586/599781 |
j-invariant |
L |
0.95417598025375 |
L(r)(E,1)/r! |
Ω |
0.23854399506371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56784x4 85176p4 2184b3 |
Quadratic twists by: -4 -3 13 |