Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616bi |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2115072 |
Modular degree for the optimal curve |
Δ |
-1.0249676265008E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 5 0 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,103173,-486927430] |
[a1,a2,a3,a4,a6] |
Generators |
[14161:1685448:1] |
Generators of the group modulo torsion |
j |
23324/19683 |
j-invariant |
L |
5.0897933321608 |
L(r)(E,1)/r! |
Ω |
0.088062208532389 |
Real period |
R |
1.2041188025353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808t1 13872g1 41616bb1 |
Quadratic twists by: -4 -3 17 |