Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150dn |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-140208205500 = -1 · 22 · 36 · 53 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,738,16096] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-196:1] |
Generators of the group modulo torsion |
j |
487443403/1538636 |
j-invariant |
L |
4.5334931254884 |
L(r)(E,1)/r! |
Ω |
0.73050089480255 |
Real period |
R |
0.51716718876382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350bg1 84150gx1 |
Quadratic twists by: -3 5 |