Atkin-Lehner |
3+ 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725n |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
174182400 |
Modular degree for the optimal curve |
Δ |
-1.5045055596871E+30 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2659849225,26360458767000] |
[a1,a2,a3,a4,a6] |
j |
133190958157325475401771762831/96288355819973420089284375 |
j-invariant |
L |
3.2771976860725 |
L(r)(E,1)/r! |
Ω |
0.017068738994444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945q1 |
Quadratic twists by: 5 |