Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ck |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
99123200 = 215 · 52 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128,-332] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:16:1] |
Generators of the group modulo torsion |
j |
18865/8 |
j-invariant |
L |
3.245460407564 |
L(r)(E,1)/r! |
Ω |
1.4734256250388 |
Real period |
R |
0.55066580091182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bd1 48400dc1 48400cl1 |
Quadratic twists by: -4 5 -11 |