Atkin-Lehner |
2+ 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55216b |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
35392 |
Modular degree for the optimal curve |
Δ |
-6496107184 = -1 · 24 · 77 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 0 3 7+ 5 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-566,-6473] |
[a1,a2,a3,a4,a6] |
j |
-1253294180352/406006699 |
j-invariant |
L |
4.3331516864181 |
L(r)(E,1)/r! |
Ω |
0.48146129863593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27608c1 |
Quadratic twists by: -4 |