Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864bf |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-3293184 = -1 · 214 · 3 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[9:8:1] |
Generators of the group modulo torsion |
j |
-810448/201 |
j-invariant |
L |
4.1616628294915 |
L(r)(E,1)/r! |
Ω |
0.88909554836276 |
Real period |
R |
1.1701956097843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12864o1 3216h1 38592ci1 |
Quadratic twists by: -4 8 -3 |