Atkin-Lehner |
3- 7+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43911b |
Isogeny class |
Conductor |
43911 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1470174662313 = 316 · 72 · 17 · 41 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5234,-132240] |
[a1,a2,a3,a4,a6] |
Generators |
[-386:819:8] |
Generators of the group modulo torsion |
j |
21748011137497/2016700497 |
j-invariant |
L |
3.6655736336044 |
L(r)(E,1)/r! |
Ω |
0.56463757504268 |
Real period |
R |
3.2459526213075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14637b1 |
Quadratic twists by: -3 |