Atkin-Lehner |
13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123539b |
Isogeny class |
Conductor |
123539 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-1019706842531 = -1 · 136 · 173 · 43 |
Discriminant |
Eigenvalues |
-1 1 1 0 6 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91010,10560263] |
[a1,a2,a3,a4,a6] |
Generators |
[127287:-52120:729] |
Generators of the group modulo torsion |
j |
-17271547035049/211259 |
j-invariant |
L |
6.0059752224869 |
L(r)(E,1)/r! |
Ω |
0.79703532888299 |
Real period |
R |
7.5353940015041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
731a1 |
Quadratic twists by: 13 |