Atkin-Lehner |
2- 7+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
100016o |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1462272 |
Modular degree for the optimal curve |
Δ |
-330581444083122176 = -1 · 216 · 77 · 194 · 47 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -3 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1745392,-887388736] |
[a1,a2,a3,a4,a6] |
j |
-143563142482697477233/80708360371856 |
j-invariant |
L |
0.52537766778715 |
L(r)(E,1)/r! |
Ω |
0.065672212679181 |
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 |
12502d1 |
Quadratic twists by: -4 |