Atkin-Lehner |
3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
549c |
Isogeny class |
Conductor |
549 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-44469 = -1 · 36 · 61 |
Discriminant |
Eigenvalues |
1 3- 3 1 5 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18,-27] |
[a1,a2,a3,a4,a6] |
j |
-912673/61 |
j-invariant |
L |
2.3029474055306 |
L(r)(E,1)/r! |
Ω |
1.1514737027653 |
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 |
8784t1 35136bb1 61a1 13725c1 |
Quadratic twists by: -4 8 -3 5 |