Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6468g |
Isogeny class |
Conductor |
6468 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-191760340464 = -1 · 24 · 33 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 7 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1486,30997] |
[a1,a2,a3,a4,a6] |
j |
-562432/297 |
j-invariant |
L |
1.8746727485127 |
L(r)(E,1)/r! |
Ω |
0.93733637425636 |
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 |
25872cm1 103488cx1 19404m1 6468p1 |
Quadratic twists by: -4 8 -3 -7 |