Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bt |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
20735178070818816 = 218 · 32 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91902,-8192700] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:1074:1] |
Generators of the group modulo torsion |
j |
48455467135993/11704467456 |
j-invariant |
L |
10.696757921769 |
L(r)(E,1)/r! |
Ω |
0.27901863260608 |
Real period |
R |
2.1298374357177 |
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 |
89298w1 2706e1 |
Quadratic twists by: -3 -11 |