Atkin-Lehner |
13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9503b |
Isogeny class |
Conductor |
9503 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
-161551 = -1 · 13 · 172 · 43 |
Discriminant |
Eigenvalues |
-1 -2 -2 4 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6,19] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
23639903/161551 |
j-invariant |
L |
1.6647241085622 |
L(r)(E,1)/r! |
Ω |
2.3489917152177 |
Real period |
R |
1.4173946189571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85527c1 123539a1 |
Quadratic twists by: -3 13 |