Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952r |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
610368 = 26 · 3 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,8] |
[a1,a2,a3,a4,a6] |
j |
19248832/9537 |
j-invariant |
L |
2.5658557364366 |
L(r)(E,1)/r! |
Ω |
2.5658557364366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17952o1 35904ce1 53856o1 |
Quadratic twists by: -4 8 -3 |