Atkin-Lehner |
3- 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745w |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-46879959760515 = -1 · 315 · 5 · 7 · 173 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 3 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8817,-83507] |
[a1,a2,a3,a4,a6] |
j |
103982129229824/64307215035 |
j-invariant |
L |
4.4158990203997 |
L(r)(E,1)/r! |
Ω |
0.3679916113735 |
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 |
33915i1 |
Quadratic twists by: -3 |