Atkin-Lehner |
2+ 3+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536c |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-28153641984 = -1 · 210 · 3 · 13 · 893 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 3 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1736,-28416] |
[a1,a2,a3,a4,a6] |
j |
-565357377316/27493791 |
j-invariant |
L |
1.4749977782313 |
L(r)(E,1)/r! |
Ω |
0.36874944452789 |
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 |
27768l1 |
Quadratic twists by: -4 |