Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bl |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
376534661184 = 26 · 34 · 116 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8049,-279729] |
[a1,a2,a3,a4,a6] |
j |
32553430057/212544 |
j-invariant |
L |
3.0254214548399 |
L(r)(E,1)/r! |
Ω |
0.5042369091401 |
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 |
89298s1 246d1 |
Quadratic twists by: -3 -11 |