Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112y |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
54414344192 = 216 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 2 -4 2 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1320,-14224] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1326:1] |
Generators of the group modulo torsion |
j |
12649337/2704 |
j-invariant |
L |
7.3203260293861 |
L(r)(E,1)/r! |
Ω |
0.8040011793827 |
Real period |
R |
2.2762174414146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514d1 60112z1 |
Quadratic twists by: -4 17 |