Atkin-Lehner |
3- 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18135q |
Isogeny class |
Conductor |
18135 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-2.0356618613005E+26 |
Discriminant |
Eigenvalues |
0 3- 5- -1 3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,131459748,-366945002865] |
[a1,a2,a3,a4,a6] |
Generators |
[195874:33494621:8] |
Generators of the group modulo torsion |
j |
344647053641493631661244416/279240310192108154296875 |
j-invariant |
L |
4.5526050124192 |
L(r)(E,1)/r! |
Ω |
0.031269158018906 |
Real period |
R |
6.0664209571225 |
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 |
6045h3 90675u3 |
Quadratic twists by: -3 5 |