Atkin-Lehner |
2+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450p |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-368927578250 = -1 · 2 · 53 · 72 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 11+ -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,128,29186] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-4714:27] |
Generators of the group modulo torsion |
j |
1847284083/2951420626 |
j-invariant |
L |
9.1037454638919 |
L(r)(E,1)/r! |
Ω |
0.7474807604694 |
Real period |
R |
1.5224046465921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65450bf1 |
Quadratic twists by: 5 |