Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584bd |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
170240 |
Modular degree for the optimal curve |
Δ |
31446146251152 = 24 · 319 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48488,-4116939] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:81:1] |
Generators of the group modulo torsion |
j |
787980552555424000/1965384140697 |
j-invariant |
L |
7.7331912648055 |
L(r)(E,1)/r! |
Ω |
0.32177725057261 |
Real period |
R |
0.63244071146152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168c1 121752q1 |
Quadratic twists by: -4 -3 |