Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560eq |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
453293395513344000 = 215 · 310 · 53 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3904428,2969329552] |
[a1,a2,a3,a4,a6] |
Generators |
[-628:71928:1] [482:34632:1] |
Generators of the group modulo torsion |
j |
275561477457747272/18975880125 |
j-invariant |
L |
10.905088438372 |
L(r)(E,1)/r! |
Ω |
0.2818913745998 |
Real period |
R |
2.4178392415797 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ep4 53280br4 35520cz4 |
Quadratic twists by: -4 8 -3 |