Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
29766o |
Isogeny class |
Conductor |
29766 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
361152 |
Modular degree for the optimal curve |
Δ |
1687433111232 = 26 · 3 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -4 3 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-316417,-68639435] |
[a1,a2,a3,a4,a6] |
Generators |
[-111594:56281:343] |
Generators of the group modulo torsion |
j |
16344205014841/7872 |
j-invariant |
L |
3.09134981128 |
L(r)(E,1)/r! |
Ω |
0.20129567154227 |
Real period |
R |
2.5595432062655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89298ck1 29766bg1 |
Quadratic twists by: -3 -11 |