Atkin-Lehner |
5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
121495d |
Isogeny class |
Conductor |
121495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-28551325 = -1 · 52 · 11 · 473 |
Discriminant |
Eigenvalues |
1 2 5+ 1 11- -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1338,18293] |
[a1,a2,a3,a4,a6] |
Generators |
[588:-59:27] |
Generators of the group modulo torsion |
j |
-2554497863/275 |
j-invariant |
L |
11.338080576151 |
L(r)(E,1)/r! |
Ω |
2.0155097524124 |
Real period |
R |
1.406353966578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121495e1 |
Quadratic twists by: -47 |