Atkin-Lehner |
2+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56032a |
Isogeny class |
Conductor |
56032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11008 |
Modular degree for the optimal curve |
Δ |
11542592 = 26 · 17 · 1032 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74,160] |
[a1,a2,a3,a4,a6] |
Generators |
[8:12:1] |
Generators of the group modulo torsion |
j |
709732288/180353 |
j-invariant |
L |
4.1178837261308 |
L(r)(E,1)/r! |
Ω |
2.1214818092855 |
Real period |
R |
1.9410412608742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56032d1 112064c1 |
Quadratic twists by: -4 8 |