Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101728l |
Isogeny class |
Conductor |
101728 |
Conductor |
∏ cp |
12 |
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 |
[1172712870:58037499911:343000] |
Generators of the group modulo torsion |
j |
-4947761664/1331 |
j-invariant |
L |
8.8535759770093 |
L(r)(E,1)/r! |
Ω |
0.058403486713946 |
Real period |
R |
12.632773132798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101728g1 101728h1 |
Quadratic twists by: -4 17 |