Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840fk |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
9629798400 = 212 · 37 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1668,25792] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-72:1] [-19:225:1] |
Generators of the group modulo torsion |
j |
171879616/3225 |
j-invariant |
L |
10.79452541446 |
L(r)(E,1)/r! |
Ω |
1.2938220903748 |
Real period |
R |
1.0428912032635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840eo1 61920t1 41280dr1 |
Quadratic twists by: -4 8 -3 |