Atkin-Lehner |
2+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
57536i |
Isogeny class |
Conductor |
57536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-877596147712 = -1 · 215 · 29 · 314 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,-45072] |
[a1,a2,a3,a4,a6] |
j |
-287496/26782109 |
j-invariant |
L |
0.81132482855592 |
L(r)(E,1)/r! |
Ω |
0.40566241436838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57536l3 28768f2 |
Quadratic twists by: -4 8 |