Atkin-Lehner |
2+ 3+ 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190c |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
239878159943058720 = 25 · 34 · 5 · 298 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-164188,9954352] |
[a1,a2,a3,a4,a6] |
j |
489499309091433960649/239878159943058720 |
j-invariant |
L |
1.1111725963118 |
L(r)(E,1)/r! |
Ω |
0.2777931490783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570z3 |
Quadratic twists by: -3 |