Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bp |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-1.1978445706855E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -6 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1920684,-1151944400] |
[a1,a2,a3,a4,a6] |
Generators |
[6970947518594430:-5471571790168563712:11314856125] |
Generators of the group modulo torsion |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
6.1703443025138 |
L(r)(E,1)/r! |
Ω |
0.063585748183585 |
Real period |
R |
24.259934337608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544et1 2142q1 22848x1 |
Quadratic twists by: -4 8 -3 |