Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018o |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
58544640 |
Modular degree for the optimal curve |
Δ |
1.3916647454262E+26 |
Discriminant |
Eigenvalues |
2- 2 -3 -3 11+ 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-129715572,-34769536075] |
[a1,a2,a3,a4,a6] |
Generators |
[-89763:16239145:27] |
Generators of the group modulo torsion |
j |
691510653107/398688256 |
j-invariant |
L |
11.204269847905 |
L(r)(E,1)/r! |
Ω |
0.048755257012258 |
Real period |
R |
1.9150532700234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128018a1 5566d1 |
Quadratic twists by: -11 -23 |