Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562r |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-434125332 = -1 · 22 · 36 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,189,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[40:245:1] |
Generators of the group modulo torsion |
j |
6859/4 |
j-invariant |
L |
6.0218224382175 |
L(r)(E,1)/r! |
Ω |
0.98824219365174 |
Real period |
R |
1.5233670644954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618i1 50562bj1 |
Quadratic twists by: -3 53 |