Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17200b |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-6880000000 = -1 · 211 · 57 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 3 2 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,3988] |
[a1,a2,a3,a4,a6] |
Generators |
[18:100:1] |
Generators of the group modulo torsion |
j |
-2/215 |
j-invariant |
L |
4.1596130132757 |
L(r)(E,1)/r! |
Ω |
1.059795919833 |
Real period |
R |
0.24530742991604 |
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 |
8600b1 68800dl1 3440a1 |
Quadratic twists by: -4 8 5 |