Atkin-Lehner |
2- 3+ 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bg |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-478663212912192 = -1 · 26 · 39 · 72 · 11 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10096,-980045] |
[a1,a2,a3,a4,a6] |
j |
5782568321349/24318610624 |
j-invariant |
L |
6.3768779205437 |
L(r)(E,1)/r! |
Ω |
0.26570322111059 |
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 |
123354e1 |
Quadratic twists by: -3 |