Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6468s |
Isogeny class |
Conductor |
6468 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-3725568 = -1 · 28 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,132] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-6:1] |
Generators of the group modulo torsion |
j |
-768208/297 |
j-invariant |
L |
4.303835461151 |
L(r)(E,1)/r! |
Ω |
2.3383783407579 |
Real period |
R |
0.2045023817544 |
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 |
25872bn1 103488q1 19404s1 6468a1 |
Quadratic twists by: -4 8 -3 -7 |