Atkin-Lehner |
3+ 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
17271b |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
18704493 = 33 · 193 · 101 |
Discriminant |
Eigenvalues |
0 3+ 4 4 -1 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11358,-465909] |
[a1,a2,a3,a4,a6] |
j |
6001579191140352/692759 |
j-invariant |
L |
3.6996792908271 |
L(r)(E,1)/r! |
Ω |
0.46245991135339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17271a1 |
Quadratic twists by: -3 |