Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
119064x |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8.5775902399135E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1961112864,-33428304372960] |
[a1,a2,a3,a4,a6] |
Generators |
[41732569181704454648627019:20513387096140127893506474936:166934373476112051893] |
Generators of the group modulo torsion |
j |
-229903410840151742620274/2364172887263121 |
j-invariant |
L |
6.4275122068253 |
L(r)(E,1)/r! |
Ω |
0.011343410372729 |
Real period |
R |
35.414350881561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999450663 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10824e2 |
Quadratic twists by: -11 |