Atkin-Lehner |
2+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658b |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
7055263417925632 = 215 · 78 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 6 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-162461,-24891464] |
[a1,a2,a3,a4,a6] |
Generators |
[-2026:2283:8] |
Generators of the group modulo torsion |
j |
82258903407625/1223852032 |
j-invariant |
L |
4.8272201265333 |
L(r)(E,1)/r! |
Ω |
0.23801481240522 |
Real period |
R |
2.253463918556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21658f2 |
Quadratic twists by: -7 |