Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142p |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
30526473348 = 22 · 33 · 72 · 193 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-189071,31627694] |
[a1,a2,a3,a4,a6] |
j |
747472421657357691625/30526473348 |
j-invariant |
L |
1.7433306151486 |
L(r)(E,1)/r! |
Ω |
0.87166530757431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
69426bw1 |
Quadratic twists by: -3 |