Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47652g |
Isogeny class |
Conductor |
47652 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
369360 |
Modular degree for the optimal curve |
Δ |
-647180544506501808 = -1 · 24 · 39 · 112 · 198 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45727,-38506680] |
[a1,a2,a3,a4,a6] |
Generators |
[751:20493:1] |
Generators of the group modulo torsion |
j |
38912000/2381643 |
j-invariant |
L |
6.8989745939824 |
L(r)(E,1)/r! |
Ω |
0.13747834170099 |
Real period |
R |
2.787903618776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47652b1 |
Quadratic twists by: -19 |