Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12864l |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-57746496 = -1 · 26 · 3 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,366] |
[a1,a2,a3,a4,a6] |
j |
107850176/902289 |
j-invariant |
L |
1.448003010635 |
L(r)(E,1)/r! |
Ω |
1.448003010635 |
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 |
12864e1 6432k1 38592l1 |
Quadratic twists by: -4 8 -3 |