Atkin-Lehner |
7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5159b |
Isogeny class |
Conductor |
5159 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6816 |
Modular degree for the optimal curve |
Δ |
-55667761303 = -1 · 7 · 116 · 672 |
Discriminant |
Eigenvalues |
1 -2 0 7+ 11+ 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29726,-1975125] |
[a1,a2,a3,a4,a6] |
Generators |
[95523699750:7418280873657:15625000] |
Generators of the group modulo torsion |
j |
-2904772541375265625/55667761303 |
j-invariant |
L |
2.9415663834073 |
L(r)(E,1)/r! |
Ω |
0.18179699128898 |
Real period |
R |
16.180500912314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82544bk1 46431i1 128975f1 36113b1 |
Quadratic twists by: -4 -3 5 -7 |