Atkin-Lehner |
2- 3+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774t |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1321920 |
Modular degree for the optimal curve |
Δ |
-180036319285697496 = -1 · 23 · 3 · 1710 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 3 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168782,-33671965] |
[a1,a2,a3,a4,a6] |
j |
-263762497/89304 |
j-invariant |
L |
0.69472522154133 |
L(r)(E,1)/r! |
Ω |
0.11578759732785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105774x1 |
Quadratic twists by: 17 |