Atkin-Lehner |
2+ 3+ 7+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714a |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1444588992 = -1 · 26 · 34 · 72 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49,1813] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:47:1] |
Generators of the group modulo torsion |
j |
-13430356633/1444588992 |
j-invariant |
L |
3.8561141375856 |
L(r)(E,1)/r! |
Ω |
1.2436585375091 |
Real period |
R |
0.77515532223757 |
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 |
65142w1 |
Quadratic twists by: -3 |