Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760z |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2009197841062297600 = 228 · 52 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59060908,-174702154032] |
[a1,a2,a3,a4,a6] |
j |
86912881496074271306241/7664481510400 |
j-invariant |
L |
0.10891922013792 |
L(r)(E,1)/r! |
Ω |
0.054459610023171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45760e2 11440s2 |
Quadratic twists by: -4 8 |