Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135q |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-7.4958614632834E+22 |
Discriminant |
Eigenvalues |
0 3- 5- -1 3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33822642,-76848435468] |
[a1,a2,a3,a4,a6] |
Generators |
[6842:109687:1] |
Generators of the group modulo torsion |
j |
-5869738723523437004161024/102823888385232421875 |
j-invariant |
L |
4.5526050124192 |
L(r)(E,1)/r! |
Ω |
0.031269158018906 |
Real period |
R |
2.0221403190408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6045h2 90675u2 |
Quadratic twists by: -3 5 |