Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29744u |
Isogeny class |
Conductor |
29744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-60915712 = -1 · 215 · 11 · 132 |
Discriminant |
Eigenvalues |
2- -2 4 -2 11+ 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-428] |
[a1,a2,a3,a4,a6] |
j |
-28561/88 |
j-invariant |
L |
1.6089874239248 |
L(r)(E,1)/r! |
Ω |
0.80449371196195 |
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 |
3718i1 118976dg1 29744bg1 |
Quadratic twists by: -4 8 13 |