Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744g |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-2297097710336 = -1 · 28 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ -1 1 -2 11- 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40785,-3157571] |
[a1,a2,a3,a4,a6] |
j |
-6072054784/1859 |
j-invariant |
L |
0.33594298320513 |
L(r)(E,1)/r! |
Ω |
0.16797149160287 |
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 |
14872g1 118976by1 2288c1 |
Quadratic twists by: -4 8 13 |