Atkin-Lehner |
2- 3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550bf |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
394000200 = 23 · 35 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-193,311] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
31812387385/15760008 |
j-invariant |
L |
8.6412934473915 |
L(r)(E,1)/r! |
Ω |
1.4965129142844 |
Real period |
R |
0.96238098679038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110550x1 |
Quadratic twists by: 5 |