Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bg |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
308834353152 = 214 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29532,-1953200] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:13:1] |
Generators of the group modulo torsion |
j |
238481570896/25857 |
j-invariant |
L |
4.4759878815142 |
L(r)(E,1)/r! |
Ω |
0.36419096312321 |
Real period |
R |
3.0725555088339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000182009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296di2 15912d2 42432bh2 |
Quadratic twists by: -4 8 -3 |