Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24752u |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-4283482112 = -1 · 214 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -3 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-728,-7952] |
[a1,a2,a3,a4,a6] |
Generators |
[44:208:1] |
Generators of the group modulo torsion |
j |
-10431681625/1045772 |
j-invariant |
L |
3.5278356175367 |
L(r)(E,1)/r! |
Ω |
0.45690539966736 |
Real period |
R |
0.64342925619925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094b1 99008bn1 |
Quadratic twists by: -4 8 |