Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63536bg |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
229824 |
Modular degree for the optimal curve |
Δ |
47825713523456 = 28 · 11 · 198 |
Discriminant |
Eigenvalues |
2- 2 3 1 11- -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16004,-699364] |
[a1,a2,a3,a4,a6] |
Generators |
[-31888537071941000:105653601570688803:535545586150912] |
Generators of the group modulo torsion |
j |
104272/11 |
j-invariant |
L |
11.571048348304 |
L(r)(E,1)/r! |
Ω |
0.42735972067135 |
Real period |
R |
27.07566433759 |
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 |
15884b1 63536bq1 |
Quadratic twists by: -4 -19 |