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 |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
9776915156250000 = 24 · 39 · 510 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81380,7584247] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1781:1] |
Generators of the group modulo torsion |
j |
193802978403/31790000 |
j-invariant |
L |
10.534397382423 |
L(r)(E,1)/r! |
Ω |
0.39020287728719 |
Real period |
R |
3.3746539288097 |
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 |
84150l1 16830c1 |
Quadratic twists by: -3 5 |