Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18564r |
Isogeny class |
Conductor |
18564 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
126048 |
Modular degree for the optimal curve |
Δ |
1027798622397456 = 24 · 3 · 713 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163766,-25516419] |
[a1,a2,a3,a4,a6] |
j |
30358311007079398144/64237413899841 |
j-invariant |
L |
3.0856165979225 |
L(r)(E,1)/r! |
Ω |
0.23735512291712 |
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 |
74256bu1 55692bd1 129948b1 |
Quadratic twists by: -4 -3 -7 |