Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096m |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
-18736617854976 = -1 · 211 · 3 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 3 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22752,1329684] |
[a1,a2,a3,a4,a6] |
j |
-110328386/1587 |
j-invariant |
L |
2.7594022314288 |
L(r)(E,1)/r! |
Ω |
0.6898505577035 |
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 |
27048n1 54096h1 |
Quadratic twists by: -4 -7 |