Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129888h |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16665149952 = 29 · 38 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4035,-98458] |
[a1,a2,a3,a4,a6] |
Generators |
[94:594:1] |
Generators of the group modulo torsion |
j |
19465109000/44649 |
j-invariant |
L |
6.1707876258263 |
L(r)(E,1)/r! |
Ω |
0.59909890785435 |
Real period |
R |
2.575028713219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129888k2 43296v2 |
Quadratic twists by: -4 -3 |