Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100g |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
10887500000000 = 28 · 511 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 -4 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1105508,-447026488] |
[a1,a2,a3,a4,a6] |
Generators |
[-4160582:3750:6859] |
Generators of the group modulo torsion |
j |
37355089624332496/2721875 |
j-invariant |
L |
7.7762995768812 |
L(r)(E,1)/r! |
Ω |
0.14723431881827 |
Real period |
R |
4.401317364049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420k1 |
Quadratic twists by: 5 |