Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cd |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-520009113600000000 = -1 · 219 · 310 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,196692,8739632] |
[a1,a2,a3,a4,a6] |
Generators |
[103571508:-3173590000:185193] |
Generators of the group modulo torsion |
j |
4403686064471/2721093750 |
j-invariant |
L |
7.9192827781126 |
L(r)(E,1)/r! |
Ω |
0.18118466678078 |
Real period |
R |
10.927087445121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ey3 3870y4 41280u3 |
Quadratic twists by: -4 8 -3 |