Atkin-Lehner |
2- 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6630x |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
48640 |
Modular degree for the optimal curve |
Δ |
654426190080 = 28 · 34 · 5 · 135 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-657450,205128612] |
[a1,a2,a3,a4,a6] |
j |
31427652507069423952801/654426190080 |
j-invariant |
L |
5.2503703655645 |
L(r)(E,1)/r! |
Ω |
0.65629629569556 |
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 |
53040bs1 19890d1 33150h1 86190x1 |
Quadratic twists by: -4 -3 5 13 |