Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117740g |
Isogeny class |
Conductor |
117740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
16566781207163600 = 24 · 52 · 74 · 297 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189505,-31079778] |
[a1,a2,a3,a4,a6] |
Generators |
[19959008480859072:-2223177022906925995:1606546096128] |
Generators of the group modulo torsion |
j |
79082438656/1740725 |
j-invariant |
L |
11.654946231588 |
L(r)(E,1)/r! |
Ω |
0.22912682006486 |
Real period |
R |
25.43339588753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4060e1 |
Quadratic twists by: 29 |