Atkin-Lehner |
2- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56240i |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1295539240960000 = 222 · 54 · 192 · 372 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81523,-8790222] |
[a1,a2,a3,a4,a6] |
j |
14628649129272009/316293760000 |
j-invariant |
L |
0.56582325300922 |
L(r)(E,1)/r! |
Ω |
0.28291162725665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7030a2 |
Quadratic twists by: -4 |