Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60016f |
Isogeny class |
Conductor |
60016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-2.2791066012332E+19 |
Discriminant |
Eigenvalues |
2+ 2 -3 -5 11- -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,668848,91587311] |
[a1,a2,a3,a4,a6] |
Generators |
[-4683497:272515941:50653] |
Generators of the group modulo torsion |
j |
1167425747785472/804060162631 |
j-invariant |
L |
3.7782063044029 |
L(r)(E,1)/r! |
Ω |
0.1351058269987 |
Real period |
R |
13.982395828938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30008c1 5456a1 |
Quadratic twists by: -4 -11 |