Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200cy |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
286650000000000000 = 213 · 32 · 514 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24466008,46587430512] |
[a1,a2,a3,a4,a6] |
j |
25306558948218234961/4478906250 |
j-invariant |
L |
1.940801418283 |
L(r)(E,1)/r! |
Ω |
0.2426001203318 |
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 |
13650be5 21840ck6 |
Quadratic twists by: -4 5 |