Atkin-Lehner |
2+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
110224a |
Isogeny class |
Conductor |
110224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5242944 |
Modular degree for the optimal curve |
Δ |
-2306347245710377984 = -1 · 210 · 838 |
Discriminant |
Eigenvalues |
2+ 0 2 2 -6 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55463339,-158985375350] |
[a1,a2,a3,a4,a6] |
j |
-8181200772 |
j-invariant |
L |
0.88515204143215 |
L(r)(E,1)/r! |
Ω |
0.027661011229934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55112e1 110224b1 |
Quadratic twists by: -4 -83 |