Atkin-Lehner |
2- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109888bb |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
53813269822963712 = 230 · 173 · 1012 |
Discriminant |
Eigenvalues |
2- -2 -2 2 -2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144449,-17991233] |
[a1,a2,a3,a4,a6] |
j |
1271541138628753/205281333248 |
j-invariant |
L |
1.4853870573856 |
L(r)(E,1)/r! |
Ω |
0.24756460543255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109888l1 27472l1 |
Quadratic twists by: -4 8 |