Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112g |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
24666278311376 = 24 · 13 · 179 |
Discriminant |
Eigenvalues |
2+ -2 2 -4 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22927,1307040] |
[a1,a2,a3,a4,a6] |
Generators |
[17380:249365:64] |
Generators of the group modulo torsion |
j |
702464/13 |
j-invariant |
L |
2.814227839161 |
L(r)(E,1)/r! |
Ω |
0.67280082685031 |
Real period |
R |
8.3657086225055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056h1 60112f1 |
Quadratic twists by: -4 17 |