Atkin-Lehner |
2- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109888p |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
28131328 = 214 · 17 · 101 |
Discriminant |
Eigenvalues |
2- 1 4 -1 3 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-261,-1693] |
[a1,a2,a3,a4,a6] |
j |
120472576/1717 |
j-invariant |
L |
4.7537419509106 |
L(r)(E,1)/r! |
Ω |
1.1884355338434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888b1 27472e1 |
Quadratic twists by: -4 8 |