Atkin-Lehner |
2+ 3+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
82416a |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
10549248 = 211 · 3 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 2 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-272,-1632] |
[a1,a2,a3,a4,a6] |
j |
1090677026/5151 |
j-invariant |
L |
4.702272332416 |
L(r)(E,1)/r! |
Ω |
1.1755680868429 |
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 |
41208f1 |
Quadratic twists by: -4 |