Atkin-Lehner |
3- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17271g |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1569600 |
Modular degree for the optimal curve |
Δ |
1.2770310993098E+19 |
Discriminant |
Eigenvalues |
2 3- 4 -2 3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12803943,-17633684619] |
[a1,a2,a3,a4,a6] |
j |
318439827597943755329536/17517573378735237 |
j-invariant |
L |
7.8215194721451 |
L(r)(E,1)/r! |
Ω |
0.079811423185155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5757f1 |
Quadratic twists by: -3 |