Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112i |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
20522343555064832 = 210 · 132 · 179 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-483304,-129301308] |
[a1,a2,a3,a4,a6] |
Generators |
[8834:827696:1] |
Generators of the group modulo torsion |
j |
505117359652/830297 |
j-invariant |
L |
3.8085402951393 |
L(r)(E,1)/r! |
Ω |
0.18108699411192 |
Real period |
R |
5.257887671353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056j1 3536a1 |
Quadratic twists by: -4 17 |