Atkin-Lehner |
2+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60320a |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2459627622400 = -1 · 212 · 52 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3359,-10095] |
[a1,a2,a3,a4,a6] |
j |
1022973718976/600495025 |
j-invariant |
L |
3.8316536618753 |
L(r)(E,1)/r! |
Ω |
0.4789567075907 |
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 |
60320p2 120640bk1 |
Quadratic twists by: -4 8 |