Atkin-Lehner |
2- 3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
12816l |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-265752576 = -1 · 212 · 36 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -2 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,1042] |
[a1,a2,a3,a4,a6] |
j |
-117649/89 |
j-invariant |
L |
3.2058104417679 |
L(r)(E,1)/r! |
Ω |
1.6029052208839 |
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 |
801d1 51264bj1 1424b1 |
Quadratic twists by: -4 8 -3 |