Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112f |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
1021904 = 24 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79,294] |
[a1,a2,a3,a4,a6] |
Generators |
[14700:22211:1728] |
Generators of the group modulo torsion |
j |
702464/13 |
j-invariant |
L |
9.6569520211997 |
L(r)(E,1)/r! |
Ω |
2.7740288741067 |
Real period |
R |
6.9624019498817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056k1 60112g1 |
Quadratic twists by: -4 17 |