Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400dh |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
4495431560069120000 = 225 · 54 · 118 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11- 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10503808,-13106030412] |
[a1,a2,a3,a4,a6] |
j |
233551483825/8192 |
j-invariant |
L |
1.00634065424 |
L(r)(E,1)/r! |
Ω |
0.083861721171198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bk1 48400ci1 48400dg1 |
Quadratic twists by: -4 5 -11 |