Atkin-Lehner |
3- 11+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24123c |
Isogeny class |
Conductor |
24123 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
119232 |
Modular degree for the optimal curve |
Δ |
-7366524254900217 = -1 · 39 · 116 · 173 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 0 11+ -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42010,-5298367] |
[a1,a2,a3,a4,a6] |
j |
-8199113454190195993/7366524254900217 |
j-invariant |
L |
2.8932944652745 |
L(r)(E,1)/r! |
Ω |
0.16073858140413 |
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 |
72369m1 |
Quadratic twists by: -3 |