Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881f |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
649728 |
Modular degree for the optimal curve |
Δ |
2.2027845102082E+19 |
Discriminant |
Eigenvalues |
0 3- 3 1 -3 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4360566,-3497511357] |
[a1,a2,a3,a4,a6] |
Generators |
[-52395665:107598371:42875] |
Generators of the group modulo torsion |
j |
11239424/27 |
j-invariant |
L |
5.1657793311042 |
L(r)(E,1)/r! |
Ω |
0.1044904335826 |
Real period |
R |
12.359455200797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6627f1 19881g1 |
Quadratic twists by: -3 -47 |