Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705o |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-86939736956863125 = -1 · 3 · 54 · 1710 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,62851,12829697] |
[a1,a2,a3,a4,a6] |
Generators |
[9562351370:-246619526379:23393656] |
Generators of the group modulo torsion |
j |
1137566234519/3601843125 |
j-invariant |
L |
8.5380467644114 |
L(r)(E,1)/r! |
Ω |
0.24042239770874 |
Real period |
R |
17.756346464555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5865b4 |
Quadratic twists by: 17 |