Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150gx |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-2190753210937500 = -1 · 22 · 36 · 59 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18445,2030447] |
[a1,a2,a3,a4,a6] |
Generators |
[463:10240:1] |
Generators of the group modulo torsion |
j |
487443403/1538636 |
j-invariant |
L |
11.660528160206 |
L(r)(E,1)/r! |
Ω |
0.32668993168058 |
Real period |
R |
2.9744126949477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350j1 84150dn1 |
Quadratic twists by: -3 5 |