Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648q |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
4103283832128 = 26 · 310 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13029249,18102026212] |
[a1,a2,a3,a4,a6] |
j |
5242933647830934578368/87947613 |
j-invariant |
L |
3.2092102246063 |
L(r)(E,1)/r! |
Ω |
0.40115127856836 |
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 |
63648f1 127296bt2 21216e1 |
Quadratic twists by: -4 8 -3 |