Atkin-Lehner |
5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39715b |
Isogeny class |
Conductor |
39715 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-992875 = -1 · 53 · 132 · 47 |
Discriminant |
Eigenvalues |
-2 2 5+ -2 4 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-186,1042] |
[a1,a2,a3,a4,a6] |
Generators |
[8:1:1] |
Generators of the group modulo torsion |
j |
-4233588736/5875 |
j-invariant |
L |
3.4067293826864 |
L(r)(E,1)/r! |
Ω |
2.7738757639924 |
Real period |
R |
1.2281477876226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39715l1 |
Quadratic twists by: 13 |