Atkin-Lehner |
2- 3+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
16836a |
Isogeny class |
Conductor |
16836 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
187488 |
Modular degree for the optimal curve |
Δ |
-6392266493836032 = -1 · 28 · 314 · 23 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 4 1 3 -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107341,14107993] |
[a1,a2,a3,a4,a6] |
j |
-534299420870877184/24969790991547 |
j-invariant |
L |
2.5130746018126 |
L(r)(E,1)/r! |
Ω |
0.41884576696877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67344v1 50508c1 |
Quadratic twists by: -4 -3 |