Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
13916d |
Isogeny class |
Conductor |
13916 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27216 |
Modular degree for the optimal curve |
Δ |
464965789456 = 24 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ -5 6 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22066,1253881] |
[a1,a2,a3,a4,a6] |
Generators |
[90:71:1] |
Generators of the group modulo torsion |
j |
12882790144/5041 |
j-invariant |
L |
5.0570715744763 |
L(r)(E,1)/r! |
Ω |
0.9197983258525 |
Real period |
R |
0.91633702597962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664c1 125244e1 13916h1 |
Quadratic twists by: -4 -3 -7 |