Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ec |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
86668185600 = 212 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6372,-195264] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2600:1] |
Generators of the group modulo torsion |
j |
354894912/1075 |
j-invariant |
L |
7.8441548945526 |
L(r)(E,1)/r! |
Ω |
0.53445321642148 |
Real period |
R |
3.6692430032673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840eh2 61920bk1 123840ds2 |
Quadratic twists by: -4 8 -3 |