Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640r |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-5297241246740064000 = -1 · 28 · 33 · 53 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,232364,-101919940] |
[a1,a2,a3,a4,a6] |
Generators |
[789085:-20814720:1331] |
Generators of the group modulo torsion |
j |
115203799856/439833375 |
j-invariant |
L |
8.0520137476592 |
L(r)(E,1)/r! |
Ω |
0.12270300481184 |
Real period |
R |
10.936996147692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43320s1 4560a1 |
Quadratic twists by: -4 -19 |