Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bl |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5232801662549181 = 37 · 73 · 178 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -6 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284864,-58345122] |
[a1,a2,a3,a4,a6] |
Generators |
[639110:4190079:1000] |
Generators of the group modulo torsion |
j |
423564751/867 |
j-invariant |
L |
5.0511353528634 |
L(r)(E,1)/r! |
Ω |
0.20667773276569 |
Real period |
R |
6.1099170699712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000243967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42483k2 127449bm2 7497g2 |
Quadratic twists by: -3 -7 17 |