Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54990bj |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-1522080239062500 = -1 · 22 · 313 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2632,-1876993] |
[a1,a2,a3,a4,a6] |
j |
2766995941319/2087901562500 |
j-invariant |
L |
3.5607635653398 |
L(r)(E,1)/r! |
Ω |
0.22254772274597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18330n1 |
Quadratic twists by: -3 |