Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744m |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-36753563365376 = -1 · 212 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 1 1 -2 11+ 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3605,302147] |
[a1,a2,a3,a4,a6] |
j |
-262144/1859 |
j-invariant |
L |
1.1181493035948 |
L(r)(E,1)/r! |
Ω |
0.55907465179826 |
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 |
1859b1 118976da1 2288i1 |
Quadratic twists by: -4 8 13 |