Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570bc |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
455158440000 = 26 · 37 · 54 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2327,-27921] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:126:1] |
Generators of the group modulo torsion |
j |
1910778533929/624360000 |
j-invariant |
L |
9.2655941573813 |
L(r)(E,1)/r! |
Ω |
0.7053216869 |
Real period |
R |
0.54736219003962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190c1 |
Quadratic twists by: -3 |