Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280dp |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
5.49552384E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2195585,543227775] |
[a1,a2,a3,a4,a6] |
Generators |
[130:16125:1] |
Generators of the group modulo torsion |
j |
4465136636671380769/2096375976562500 |
j-invariant |
L |
6.9971636731974 |
L(r)(E,1)/r! |
Ω |
0.14661813284187 |
Real period |
R |
0.44188635657634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280p3 10320p3 123840fj3 |
Quadratic twists by: -4 8 -3 |