Atkin-Lehner |
2- 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12078v |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
4.4760797641029E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 4 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1819292,-887501185] |
[a1,a2,a3,a4,a6] |
j |
913488720932053621369/61400271112522848 |
j-invariant |
L |
3.9163038209551 |
L(r)(E,1)/r! |
Ω |
0.1305434606985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624bj2 4026b2 |
Quadratic twists by: -4 -3 |