Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466x |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-2.5704203655789E+20 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,314865,-768440723] |
[a1,a2,a3,a4,a6] |
j |
40251338884511/2997011332224 |
j-invariant |
L |
0.33313364572154 |
L(r)(E,1)/r! |
Ω |
0.083283411430384 |
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 |
91728fl1 3822v1 1638h1 |
Quadratic twists by: -4 -3 -7 |