Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616cx |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-2992708435968 = -1 · 214 · 37 · 174 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 -4 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,83810] |
[a1,a2,a3,a4,a6] |
Generators |
[289:4896:1] [17:-272:1] |
Generators of the group modulo torsion |
j |
-289/12 |
j-invariant |
L |
6.216152233965 |
L(r)(E,1)/r! |
Ω |
0.66614852051863 |
Real period |
R |
0.19440585327751 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5202f1 13872bc1 41616cq1 |
Quadratic twists by: -4 -3 17 |