Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766bo |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
8572608 = 26 · 33 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 6 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-173,-879] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:7:1] |
Generators of the group modulo torsion |
j |
4734057625/70848 |
j-invariant |
L |
10.275489488967 |
L(r)(E,1)/r! |
Ω |
1.3175547504113 |
Real period |
R |
0.43327271749933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298m1 29766p1 |
Quadratic twists by: -3 -11 |