Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bm |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.1563388279725E+20 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -6 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13958321,20040293396] |
[a1,a2,a3,a4,a6] |
Generators |
[1866:21175:1] |
Generators of the group modulo torsion |
j |
423564751/867 |
j-invariant |
L |
2.0409318395029 |
L(r)(E,1)/r! |
Ω |
0.16283894634915 |
Real period |
R |
1.5666796844079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000425776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42483r2 127449bl2 7497p2 |
Quadratic twists by: -3 -7 17 |