Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ew |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
10813440 |
Modular degree for the optimal curve |
Δ |
6.2969656930055E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55609121,159593603679] |
[a1,a2,a3,a4,a6] |
Generators |
[-491:432180:1] |
Generators of the group modulo torsion |
j |
72547406094380206981321/240210178108425 |
j-invariant |
L |
6.8933424851437 |
L(r)(E,1)/r! |
Ω |
0.17180915889633 |
Real period |
R |
2.006104517131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998407383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680o1 31920bd1 |
Quadratic twists by: -4 8 |