Atkin-Lehner |
2- 3- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17298r |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
1047552 |
Modular degree for the optimal curve |
Δ |
-1.0658018979604E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 1 5 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-843458,-1598548287] |
[a1,a2,a3,a4,a6] |
j |
-3442951/55296 |
j-invariant |
L |
2.9334826925741 |
L(r)(E,1)/r! |
Ω |
0.066670061194867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5766b1 17298s1 |
Quadratic twists by: -3 -31 |