Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176bc |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
7914780573696 = 214 · 314 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -6 -5 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10128,-368224] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:63:1] |
Generators of the group modulo torsion |
j |
9619385344/662661 |
j-invariant |
L |
2.8932027062202 |
L(r)(E,1)/r! |
Ω |
0.47796658686854 |
Real period |
R |
3.0265742266348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176ck1 7272f1 19392c1 |
Quadratic twists by: -4 8 -3 |