Atkin-Lehner |
2+ 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3990n |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-1282741110 = -1 · 2 · 39 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-134,-1834] |
[a1,a2,a3,a4,a6] |
j |
-263251475929/1282741110 |
j-invariant |
L |
1.9043341557313 |
L(r)(E,1)/r! |
Ω |
0.63477805191042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31920s1 127680bj1 11970cj1 19950bt1 |
Quadratic twists by: -4 8 -3 5 |