Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
11682b |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10134379107072 = 28 · 33 · 112 · 594 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11- 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6489,-128851] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:100:1] |
Generators of the group modulo torsion |
j |
1119259828670283/375347374336 |
j-invariant |
L |
2.9098339737887 |
L(r)(E,1)/r! |
Ω |
0.54630184867599 |
Real period |
R |
0.66580270157444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456s2 11682m2 128502bj2 |
Quadratic twists by: -4 -3 -11 |