Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cj |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
153 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-10318980883760640 = -1 · 29 · 317 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-849661,301419761] |
[a1,a2,a3,a4,a6] |
Generators |
[638:-4693:1] |
Generators of the group modulo torsion |
j |
-28253264609835195889/4297784624640 |
j-invariant |
L |
8.9101876207911 |
L(r)(E,1)/r! |
Ω |
0.39288812601854 |
Real period |
R |
0.14822672547396 |
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 |
57330bw1 95550h1 19110ce1 |
Quadratic twists by: -3 5 -7 |