Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101728a |
Isogeny class |
Conductor |
101728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1087542308864 = -1 · 212 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ -1 -1 -4 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13101,-575003] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1156:1] |
Generators of the group modulo torsion |
j |
-2515456/11 |
j-invariant |
L |
1.3761160444779 |
L(r)(E,1)/r! |
Ω |
0.22306274883114 |
Real period |
R |
1.542297032788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998683738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101728c1 352a1 |
Quadratic twists by: -4 17 |