Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29766t |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
10459296144 = 24 · 32 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1092,-13070] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:39:1] |
Generators of the group modulo torsion |
j |
81182737/5904 |
j-invariant |
L |
3.0276592675241 |
L(r)(E,1)/r! |
Ω |
0.83441174082149 |
Real period |
R |
1.8142477624675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298cs1 246e1 |
Quadratic twists by: -3 -11 |