Atkin-Lehner |
3+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
45825f |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36642672421875 = 310 · 57 · 132 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29688,-1959594] |
[a1,a2,a3,a4,a6] |
j |
185202747171001/2345131035 |
j-invariant |
L |
0.72797568102934 |
L(r)(E,1)/r! |
Ω |
0.36398784041491 |
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 |
9165d2 |
Quadratic twists by: 5 |