Atkin-Lehner |
3- 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24633c |
Isogeny class |
Conductor |
24633 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-4669847126132517 = -1 · 313 · 72 · 173 · 233 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 5 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137691,-19904130] |
[a1,a2,a3,a4,a6] |
j |
-396017721037004977/6405825961773 |
j-invariant |
L |
1.9808233977443 |
L(r)(E,1)/r! |
Ω |
0.12380146235903 |
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 |
8211i1 |
Quadratic twists by: -3 |