Atkin-Lehner |
2- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32300h |
Isogeny class |
Conductor |
32300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
47078461250000 = 24 · 57 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9033,18062] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:4503:8] |
Generators of the group modulo torsion |
j |
326082740224/188313845 |
j-invariant |
L |
8.4727632784918 |
L(r)(E,1)/r! |
Ω |
0.54122237011966 |
Real period |
R |
3.9137163143397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200bm1 6460e1 |
Quadratic twists by: -4 5 |