Atkin-Lehner |
2- 3- 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050ci |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
66748416 |
Modular degree for the optimal curve |
Δ |
206462045626368000 = 216 · 3 · 53 · 77 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2625300243,51774360889377] |
[a1,a2,a3,a4,a6] |
j |
16008499818341876301953259220037/1651696365010944 |
j-invariant |
L |
1.9770233608163 |
L(r)(E,1)/r! |
Ω |
0.12356397203558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050k1 |
Quadratic twists by: 5 |