Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150dj |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-34304617926562500 = -1 · 22 · 36 · 58 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2691117,1699906041] |
[a1,a2,a3,a4,a6] |
j |
-7568921117048305/120466148 |
j-invariant |
L |
1.3474253698528 |
L(r)(E,1)/r! |
Ω |
0.33685634693114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
9350bi2 84150fv2 |
Quadratic twists by: -3 5 |