Atkin-Lehner |
2- 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
16340b |
Isogeny class |
Conductor |
16340 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1179748000000 = -1 · 28 · 56 · 193 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 5 -6 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11636,-489836] |
[a1,a2,a3,a4,a6] |
j |
-680663100022864/4608390625 |
j-invariant |
L |
1.378450262142 |
L(r)(E,1)/r! |
Ω |
0.229741710357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65360d2 81700e2 |
Quadratic twists by: -4 5 |