Atkin-Lehner |
3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
45a |
Isogeny class |
Conductor |
45 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
164025 = 38 · 52 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45,-104] |
[a1,a2,a3,a4,a6] |
j |
13997521/225 |
j-invariant |
L |
0.92159087663963 |
L(r)(E,1)/r! |
Ω |
1.8431817532793 |
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 |
720h2 2880r2 15a3 225c2 |
Quadratic twists by: -4 8 -3 5 |