Atkin-Lehner |
2+ 3- 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354l |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-934994826028047708 = -1 · 22 · 36 · 75 · 118 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11+ 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,192621,-33298111] |
[a1,a2,a3,a4,a6] |
j |
1084191043184481231/1282571777816252 |
j-invariant |
L |
0.6001632024956 |
L(r)(E,1)/r! |
Ω |
0.1500401291924 |
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 |
13706j1 |
Quadratic twists by: -3 |