Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bb |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
-4.8857220241291E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19869102,34110646996] |
[a1,a2,a3,a4,a6] |
j |
-47598241178539673499145/26807802601531392 |
j-invariant |
L |
0.65506170910526 |
L(r)(E,1)/r! |
Ω |
0.16376542714697 |
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 |
19950bp1 59850gj1 |
Quadratic twists by: -3 5 |