Atkin-Lehner |
3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225f |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
36895751953125 = 3 · 515 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 6 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4898533,-4171355907] |
[a1,a2,a3,a4,a6] |
j |
831958932702053269504/2361328125 |
j-invariant |
L |
1.8266508484971 |
L(r)(E,1)/r! |
Ω |
0.10148060269422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675v3 6045i3 |
Quadratic twists by: -3 5 |