Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150cz |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
140800 |
Modular degree for the optimal curve |
Δ |
-1496928782250 = -1 · 2 · 37 · 53 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,198,58806] |
[a1,a2,a3,a4,a6] |
Generators |
[9:243:1] |
Generators of the group modulo torsion |
j |
9393931/16427202 |
j-invariant |
L |
5.9439498995092 |
L(r)(E,1)/r! |
Ω |
0.66541388341653 |
Real period |
R |
2.2331777449551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050ds1 84150gw1 |
Quadratic twists by: -3 5 |