Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064dj |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
248 |
Product of Tamagawa factors cp |
deg |
13808640 |
Modular degree for the optimal curve |
Δ |
-3.1050064109214E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 1 0 2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19380577,42386845919] |
[a1,a2,a3,a4,a6] |
Generators |
[-4801:157464:1] [545:178848:1] |
Generators of the group modulo torsion |
j |
-24568232187014512221896/9475727572392030927 |
j-invariant |
L |
12.906114243354 |
L(r)(E,1)/r! |
Ω |
0.090965220350725 |
Real period |
R |
0.57209539052503 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064bx1 64032m1 |
Quadratic twists by: -4 8 |