Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560cm |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-12886551429120 = -1 · 217 · 312 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 -6 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15852,787376] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-144:1] |
Generators of the group modulo torsion |
j |
-4610398322/134865 |
j-invariant |
L |
6.5502625115501 |
L(r)(E,1)/r! |
Ω |
0.70716382174815 |
Real period |
R |
1.1578403619742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fq1 13320m1 35520a1 |
Quadratic twists by: -4 8 -3 |