Atkin-Lehner |
3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005b |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2363904 |
Modular degree for the optimal curve |
Δ |
-3782649543075 = -1 · 36 · 52 · 136 · 43 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 -1 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3042056,-2041189369] |
[a1,a2,a3,a4,a6] |
Generators |
[1002963611487170444:66485177843382086791:197666249699008] |
Generators of the group modulo torsion |
j |
-645008376471556096/783675 |
j-invariant |
L |
6.4486451890059 |
L(r)(E,1)/r! |
Ω |
0.057158095002856 |
Real period |
R |
28.205301404306 |
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 |
645d1 |
Quadratic twists by: 13 |