Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200bt |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1608777728000000 = 224 · 56 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162275,-25086750] |
[a1,a2,a3,a4,a6] |
Generators |
[-645890:718675:2744] |
Generators of the group modulo torsion |
j |
7384117376817/25137152 |
j-invariant |
L |
6.6476689112775 |
L(r)(E,1)/r! |
Ω |
0.23791703999431 |
Real period |
R |
6.9852804345847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998994703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16150j1 5168c1 |
Quadratic twists by: -4 5 |