Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096cp |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-11404897824768 = -1 · 212 · 3 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -5 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18293,-972189] |
[a1,a2,a3,a4,a6] |
j |
-4096000/69 |
j-invariant |
L |
0.41010209644863 |
L(r)(E,1)/r! |
Ω |
0.20505104853413 |
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 |
3381e1 54096bg1 |
Quadratic twists by: -4 -7 |