Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630y |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
Δ |
-5.5232317353886E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1053456,548593920] |
[a1,a2,a3,a4,a6] |
Generators |
[-480:30960:1] |
Generators of the group modulo torsion |
j |
-34746676503328815289/14843406974976000 |
j-invariant |
L |
14.603018345274 |
L(r)(E,1)/r! |
Ω |
0.18618383552408 |
Real period |
R |
0.62248675146417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111630k2 |
Quadratic twists by: 61 |