Atkin-Lehner |
2- 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87150cn |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
76238820000000 = 28 · 38 · 57 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12313,-317383] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:155:1] |
Generators of the group modulo torsion |
j |
13212881163721/4879284480 |
j-invariant |
L |
10.71539386922 |
L(r)(E,1)/r! |
Ω |
0.46730959328402 |
Real period |
R |
1.4331229793946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002977 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430i1 |
Quadratic twists by: 5 |