Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840ce |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29813855846400 = 215 · 39 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7788,-31088] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:360:1] |
Generators of the group modulo torsion |
j |
2186875592/1248075 |
j-invariant |
L |
8.3673493020552 |
L(r)(E,1)/r! |
Ω |
0.55007593528294 |
Real period |
R |
1.9014077861468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999659434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840br2 61920w2 41280bu2 |
Quadratic twists by: -4 8 -3 |