Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dy |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-988474877929687500 = -1 · 22 · 39 · 514 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,148120,42468247] |
[a1,a2,a3,a4,a6] |
Generators |
[905:29831:1] |
Generators of the group modulo torsion |
j |
1168574089437/3214062500 |
j-invariant |
L |
10.534397382423 |
L(r)(E,1)/r! |
Ω |
0.1951014386436 |
Real period |
R |
6.7493078576193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150l2 16830c2 |
Quadratic twists by: -3 5 |