Atkin-Lehner |
3+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
14685a |
Isogeny class |
Conductor |
14685 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-10325390625 = -1 · 33 · 58 · 11 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11+ -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-363,5418] |
[a1,a2,a3,a4,a6] |
Generators |
[74:588:1] |
Generators of the group modulo torsion |
j |
-5312655169849/10325390625 |
j-invariant |
L |
2.7465239235306 |
L(r)(E,1)/r! |
Ω |
1.1457172300077 |
Real period |
R |
1.1986046170887 |
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 |
44055l1 73425i1 |
Quadratic twists by: -3 5 |