Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070t |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
127166760000 = 26 · 36 · 54 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1418,11657] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:183:1] |
Generators of the group modulo torsion |
j |
432252699481/174440000 |
j-invariant |
L |
8.2897820437714 |
L(r)(E,1)/r! |
Ω |
0.94639594970255 |
Real period |
R |
0.72994307565814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6230d1 |
Quadratic twists by: -3 |