Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
49608n |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29696 |
Modular degree for the optimal curve |
Δ |
-13372729344 = -1 · 211 · 36 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -5 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,549,-2538] |
[a1,a2,a3,a4,a6] |
j |
12256974/8957 |
j-invariant |
L |
2.8243424917004 |
L(r)(E,1)/r! |
Ω |
0.70608562302804 |
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 |
99216k1 5512a1 |
Quadratic twists by: -4 -3 |