Atkin-Lehner |
2- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3434a |
Isogeny class |
Conductor |
3434 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
792 |
Modular degree for the optimal curve |
Δ |
-3969704 = -1 · 23 · 173 · 101 |
Discriminant |
Eigenvalues |
2- 1 2 4 -5 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,33,65] |
[a1,a2,a3,a4,a6] |
j |
3966822287/3969704 |
j-invariant |
L |
4.8937068666444 |
L(r)(E,1)/r! |
Ω |
1.6312356222148 |
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 |
27472i1 109888d1 30906i1 85850k1 |
Quadratic twists by: -4 8 -3 5 |