Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101728g |
Isogeny class |
Conductor |
101728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1514496 |
Modular degree for the optimal curve |
Δ |
-646514538977308672 = -1 · 212 · 113 · 179 |
Discriminant |
Eigenvalues |
2- 0 2 -3 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2790584,1794699248] |
[a1,a2,a3,a4,a6] |
Generators |
[-1156:58956:1] [1324:20516:1] |
Generators of the group modulo torsion |
j |
-4947761664/1331 |
j-invariant |
L |
11.565149178728 |
L(r)(E,1)/r! |
Ω |
0.28124898007783 |
Real period |
R |
10.280169883362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101728l1 101728m1 |
Quadratic twists by: -4 17 |