Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120g |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21657600000000 = 217 · 32 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73025,7616577] |
[a1,a2,a3,a4,a6] |
j |
328574934477218/165234375 |
j-invariant |
L |
2.6814417050583 |
L(r)(E,1)/r! |
Ω |
0.67036042632973 |
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 |
45120cz4 5640g4 |
Quadratic twists by: -4 8 |