Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640cw |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
319140507161088000 = 212 · 314 · 53 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209861,-25180365] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:1539:1] |
Generators of the group modulo torsion |
j |
1914902401024/597871125 |
j-invariant |
L |
8.6199200891459 |
L(r)(E,1)/r! |
Ω |
0.22851728543801 |
Real period |
R |
0.89812108578905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5415b1 86640bx1 |
Quadratic twists by: -4 -19 |