Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650z |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-9482695312500 = -1 · 22 · 38 · 510 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 2 4 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16992,-861084] |
[a1,a2,a3,a4,a6] |
Generators |
[208:2034:1] |
Generators of the group modulo torsion |
j |
-76215625/1332 |
j-invariant |
L |
4.4276360968433 |
L(r)(E,1)/r! |
Ω |
0.20886072879014 |
Real period |
R |
5.2997470162188 |
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 |
5550bl1 16650cm1 |
Quadratic twists by: -3 5 |