Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050f |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-59376303012500000 = -1 · 25 · 58 · 416 |
Discriminant |
Eigenvalues |
2+ -1 5- -2 3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-126950,20936500] |
[a1,a2,a3,a4,a6] |
j |
-121945/32 |
j-invariant |
L |
1.0023989770979 |
L(r)(E,1)/r! |
Ω |
0.33413297399062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84050j1 50a3 |
Quadratic twists by: 5 41 |