Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
32025w |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3461402109375 = 35 · 57 · 72 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29537298001,1953906210851273] |
[a1,a2,a3,a4,a6] |
j |
182396281399070033896409840129281/221529735 |
j-invariant |
L |
4.0372316085007 |
L(r)(E,1)/r! |
Ω |
0.10093079021274 |
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 |
96075bn4 6405e4 |
Quadratic twists by: -3 5 |