Atkin-Lehner |
2- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12730f |
Isogeny class |
Conductor |
12730 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-6191872000 = -1 · 211 · 53 · 192 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -5 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-475,5457] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:103:1] [-6:93:1] |
Generators of the group modulo torsion |
j |
-11853911588401/6191872000 |
j-invariant |
L |
6.628214672503 |
L(r)(E,1)/r! |
Ω |
1.2482325311025 |
Real period |
R |
0.080455758470922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101840p1 114570n1 63650a1 |
Quadratic twists by: -4 -3 5 |