Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120bn |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-43172294492160 = -1 · 216 · 33 · 5 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8575,-77985] |
[a1,a2,a3,a4,a6] |
j |
1063887043964/658756935 |
j-invariant |
L |
4.4449803444017 |
L(r)(E,1)/r! |
Ω |
0.37041502870138 |
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 |
45120cb3 5640a4 |
Quadratic twists by: -4 8 |