Atkin-Lehner |
3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16473f |
Isogeny class |
Conductor |
16473 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
-60835580642961 = -1 · 33 · 179 · 19 |
Discriminant |
Eigenvalues |
1 3- 1 -1 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14023,-742321] |
[a1,a2,a3,a4,a6] |
Generators |
[397529:6005689:1331] |
Generators of the group modulo torsion |
j |
-2571353/513 |
j-invariant |
L |
7.4549200267076 |
L(r)(E,1)/r! |
Ω |
0.21702952740383 |
Real period |
R |
5.7249660264248 |
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 |
49419h1 16473d1 |
Quadratic twists by: -3 17 |