Atkin-Lehner |
2+ 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12864m |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-173239488 = -1 · 26 · 32 · 673 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1,-633] |
[a1,a2,a3,a4,a6] |
j |
512/2706867 |
j-invariant |
L |
1.6590789134481 |
L(r)(E,1)/r! |
Ω |
0.82953945672405 |
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 |
12864h1 6432l1 38592o1 |
Quadratic twists by: -4 8 -3 |