Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144bl |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
1.2315349738769E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- -1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2885712,-1880200044] |
[a1,a2,a3,a4,a6] |
j |
648817971720191270353/3006677182316544 |
j-invariant |
L |
1.8538619367149 |
L(r)(E,1)/r! |
Ω |
0.11586637104468 |
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 |
1518n1 48576cb1 36432bu1 |
Quadratic twists by: -4 8 -3 |