Atkin-Lehner |
3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747t |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-4.9976097148992E+20 |
Discriminant |
Eigenvalues |
0 3- 2 7- 11- 1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1982976,-40950221] |
[a1,a2,a3,a4,a6] |
j |
1182901432413845454848/685543170768070923 |
j-invariant |
L |
1.1797176423557 |
L(r)(E,1)/r! |
Ω |
0.098309803453405 |
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 |
18249f1 |
Quadratic twists by: -3 |