Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
546g |
Isogeny class |
Conductor |
546 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
4368 = 24 · 3 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7,-7] |
[a1,a2,a3,a4,a6] |
j |
38272753/4368 |
j-invariant |
L |
2.9547312603905 |
L(r)(E,1)/r! |
Ω |
2.9547312603905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4368o1 17472o1 1638i1 13650e1 |
Quadratic twists by: -4 8 -3 5 |