Atkin-Lehner |
2+ 3- 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970f |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1301495218054200 = 23 · 311 · 52 · 13 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30326715,-64273943475] |
[a1,a2,a3,a4,a6] |
j |
4231285226607546335870641/1785315799800 |
j-invariant |
L |
0.51467514838583 |
L(r)(E,1)/r! |
Ω |
0.06433439356627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990w4 |
Quadratic twists by: -3 |