Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392v |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1504181346140928 = -1 · 28 · 3 · 74 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -6 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33180,-2971164] |
[a1,a2,a3,a4,a6] |
j |
-3269383504/1217307 |
j-invariant |
L |
1.3891468518933 |
L(r)(E,1)/r! |
Ω |
0.17364335648687 |
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 |
56784bb2 85176x2 2184e2 |
Quadratic twists by: -4 -3 13 |