Atkin-Lehner |
2- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8932b |
Isogeny class |
Conductor |
8932 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-6288128 = -1 · 28 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ 11+ -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,119] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] |
Generators of the group modulo torsion |
j |
-65536/24563 |
j-invariant |
L |
3.429206891983 |
L(r)(E,1)/r! |
Ω |
1.934700746614 |
Real period |
R |
0.88623703122681 |
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 |
35728ba1 80388c1 62524c1 98252m1 |
Quadratic twists by: -4 -3 -7 -11 |