Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ct |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-23350070004940800 = -1 · 221 · 39 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1342197,598892341] |
[a1,a2,a3,a4,a6] |
j |
-14672534807538428665/1281210974208 |
j-invariant |
L |
2.1770483475601 |
L(r)(E,1)/r! |
Ω |
0.36284139687802 |
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 |
28050bz2 84150gz2 |
Quadratic twists by: -3 5 |