Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cn |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
3036676500 = 22 · 33 · 53 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-946,-10960] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:20:1] |
Generators of the group modulo torsion |
j |
554037434041/17968500 |
j-invariant |
L |
8.7160583989278 |
L(r)(E,1)/r! |
Ω |
0.8625561680488 |
Real period |
R |
1.6841528165046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770bm1 |
Quadratic twists by: 13 |