Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20172a |
Isogeny class |
Conductor |
20172 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
11619072 = 28 · 33 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [-2:2:1] |
Generators of the group modulo torsion |
j |
82000/27 |
j-invariant |
L |
6.2044113889759 |
L(r)(E,1)/r! |
Ω |
1.7042446731836 |
Real period |
R |
1.2135212520835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688w1 60516i1 20172g1 |
Quadratic twists by: -4 -3 41 |