Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gh |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-416007290880 = -1 · 215 · 310 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-23056] |
[a1,a2,a3,a4,a6] |
Generators |
[70:648:1] |
Generators of the group modulo torsion |
j |
13481272/17415 |
j-invariant |
L |
7.5903924613574 |
L(r)(E,1)/r! |
Ω |
0.50465372051948 |
Real period |
R |
1.8800991846011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840fw1 61920bq1 41280cc1 |
Quadratic twists by: -4 8 -3 |