Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6432l |
Isogeny class |
Conductor |
6432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-11087327232 = -1 · 212 · 32 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -4 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,-5067] |
[a1,a2,a3,a4,a6] |
Generators |
[36:201:1] |
Generators of the group modulo torsion |
j |
512/2706867 |
j-invariant |
L |
3.571098751604 |
L(r)(E,1)/r! |
Ω |
0.58657297511138 |
Real period |
R |
0.50733936826386 |
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 |
6432d1 12864m1 19296g1 |
Quadratic twists by: -4 8 -3 |