Atkin-Lehner |
2+ 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bf |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1786757236110 = -1 · 2 · 34 · 5 · 74 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2069,-73978] |
[a1,a2,a3,a4,a6] |
j |
-978821296874569/1786757236110 |
j-invariant |
L |
2.6697204332482 |
L(r)(E,1)/r! |
Ω |
0.33371505416643 |
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 |
117810ej3 |
Quadratic twists by: -3 |