Atkin-Lehner |
2- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24854d |
Isogeny class |
Conductor |
24854 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
12139459302032 = 24 · 177 · 432 |
Discriminant |
Eigenvalues |
2- 0 -4 0 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16672,-807245] |
[a1,a2,a3,a4,a6] |
j |
21230922609/502928 |
j-invariant |
L |
1.6830281970499 |
L(r)(E,1)/r! |
Ω |
0.42075704926252 |
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 |
1462b1 |
Quadratic twists by: 17 |