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 |
7328931840000 = 216 · 34 · 54 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5345,77025] |
[a1,a2,a3,a4,a6] |
j |
257731890916/111830625 |
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 |
45120cz2 5640g2 |
Quadratic twists by: -4 8 |