Atkin-Lehner |
3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9165a |
Isogeny class |
Conductor |
9165 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-34891155 = -1 · 35 · 5 · 13 · 472 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -3 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-941,-11434] |
[a1,a2,a3,a4,a6] |
Generators |
[46:211:1] |
Generators of the group modulo torsion |
j |
-92247376789504/34891155 |
j-invariant |
L |
3.9484635646246 |
L(r)(E,1)/r! |
Ω |
0.43094698441073 |
Real period |
R |
0.91622953807732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27495j1 45825d1 119145o1 |
Quadratic twists by: -3 5 13 |