Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832be |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.8713974330614E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-290634257,1905430824945] |
[a1,a2,a3,a4,a6] |
Generators |
[126962815:44365855248:42875] |
Generators of the group modulo torsion |
j |
165708270220553944562200912/175256190982751271129 |
j-invariant |
L |
6.5669922075129 |
L(r)(E,1)/r! |
Ω |
0.080073361989943 |
Real period |
R |
10.251524474027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486105 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128832m2 32208e2 |
Quadratic twists by: -4 8 |