Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12789q |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-12314131808881203 = -1 · 36 · 77 · 295 |
Discriminant |
Eigenvalues |
2 3- -4 7- -2 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-948297,-355478769] |
[a1,a2,a3,a4,a6] |
j |
-1099616058781696/143578043 |
j-invariant |
L |
0.76494474022248 |
L(r)(E,1)/r! |
Ω |
0.076494474022248 |
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 |
1421e2 1827e2 |
Quadratic twists by: -3 -7 |