Atkin-Lehner |
2+ 3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19866l |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
3.5628097667951E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3981986,1051670900] |
[a1,a2,a3,a4,a6] |
j |
6982689677756941903497625/3562809766795142341632 |
j-invariant |
L |
0.99192950805106 |
L(r)(E,1)/r! |
Ω |
0.12399118850638 |
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 |
59598bi1 |
Quadratic twists by: -3 |