Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bk |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
316393708356 = 22 · 32 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-112472,14471381] |
[a1,a2,a3,a4,a6] |
j |
88818021833113/178596 |
j-invariant |
L |
1.6617099786016 |
L(r)(E,1)/r! |
Ω |
0.83085498929982 |
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 |
89298x1 2706c1 |
Quadratic twists by: -3 -11 |