Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15870b |
Isogeny class |
Conductor |
15870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-3565229860454400 = -1 · 221 · 35 · 52 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 6 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-33073,3675733] |
[a1,a2,a3,a4,a6] |
j |
-14297287761529/12740198400 |
j-invariant |
L |
0.81208228067719 |
L(r)(E,1)/r! |
Ω |
0.4060411403386 |
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 |
126960cm1 47610cg1 79350dd1 15870f1 |
Quadratic twists by: -4 -3 5 -23 |