Atkin-Lehner |
17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
29189a |
Isogeny class |
Conductor |
29189 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
2437894469 = 176 · 101 |
Discriminant |
Eigenvalues |
0 2 1 2 2 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-385,-1555] |
[a1,a2,a3,a4,a6] |
Generators |
[-3717:11845:343] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
7.6675383232131 |
L(r)(E,1)/r! |
Ω |
1.1132984766011 |
Real period |
R |
6.8872260982719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101a1 |
Quadratic twists by: 17 |