Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6468m |
Isogeny class |
Conductor |
6468 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-1222681820976 = -1 · 24 · 310 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3789,-105624] |
[a1,a2,a3,a4,a6] |
j |
-3196715008/649539 |
j-invariant |
L |
1.5047963327975 |
L(r)(E,1)/r! |
Ω |
0.3009592665595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25872bz1 103488bx1 19404z1 132b1 |
Quadratic twists by: -4 8 -3 -7 |