Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96900g |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-13562899200 = -1 · 28 · 38 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,5577] |
[a1,a2,a3,a4,a6] |
Generators |
[8:81:1] |
Generators of the group modulo torsion |
j |
5120000/2119203 |
j-invariant |
L |
6.9707419611688 |
L(r)(E,1)/r! |
Ω |
0.97651839724291 |
Real period |
R |
1.189727022022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96900bk1 |
Quadratic twists by: 5 |