Atkin-Lehner |
2- 3- 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818bl |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
39536640 |
Modular degree for the optimal curve |
Δ |
3.0016742967126E+24 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-350834684,-2527847393857] |
[a1,a2,a3,a4,a6] |
Generators |
[-10823:42441:1] |
Generators of the group modulo torsion |
j |
6550941903588138125344690297/4117523040758057140224 |
j-invariant |
L |
12.206211780709 |
L(r)(E,1)/r! |
Ω |
0.034885127059527 |
Real period |
R |
3.1808845465067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39606h1 |
Quadratic twists by: -3 |