Atkin-Lehner |
5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645l |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
121968 |
Modular degree for the optimal curve |
Δ |
-6178681457738405 = -1 · 5 · 78 · 118 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28533,3288464] |
[a1,a2,a3,a4,a6] |
Generators |
[849982:41983586:343] |
Generators of the group modulo torsion |
j |
2079/5 |
j-invariant |
L |
3.4766047735287 |
L(r)(E,1)/r! |
Ω |
0.29590384093185 |
Real period |
R |
11.749103230902 |
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 |
29645g1 29645k1 |
Quadratic twists by: -7 -11 |