Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16150f |
Isogeny class |
Conductor |
16150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
443398250000 = 24 · 56 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1926,-5752] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:121:1] [-28:176:1] |
Generators of the group modulo torsion |
j |
50529889873/28377488 |
j-invariant |
L |
3.8063123642229 |
L(r)(E,1)/r! |
Ω |
0.77515737715647 |
Real period |
R |
0.81839560937173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200cj1 646b1 |
Quadratic twists by: -4 5 |