Atkin-Lehner |
3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17271d |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4384 |
Modular degree for the optimal curve |
Δ |
51813 = 33 · 19 · 101 |
Discriminant |
Eigenvalues |
-2 3+ 2 0 3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-369,2728] |
[a1,a2,a3,a4,a6] |
Generators |
[11:0:1] |
Generators of the group modulo torsion |
j |
205797003264/1919 |
j-invariant |
L |
3.0068915283733 |
L(r)(E,1)/r! |
Ω |
3.2056352037499 |
Real period |
R |
0.46900089019111 |
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 |
17271c1 |
Quadratic twists by: -3 |