Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048u |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-4108288 = -1 · 212 · 17 · 59 |
Discriminant |
Eigenvalues |
2- -2 -2 -2 5 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,-93] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] |
Generators of the group modulo torsion |
j |
32768/1003 |
j-invariant |
L |
2.702686143018 |
L(r)(E,1)/r! |
Ω |
1.1907989978958 |
Real period |
R |
2.2696409283127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1003a1 64192bq1 |
Quadratic twists by: -4 8 |