Atkin-Lehner |
2- 3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
49932a |
Isogeny class |
Conductor |
49932 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
-33733263483648 = -1 · 28 · 36 · 195 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28920,1913492] |
[a1,a2,a3,a4,a6] |
j |
-14333461504000/180755227 |
j-invariant |
L |
1.3147055036706 |
L(r)(E,1)/r! |
Ω |
0.65735275225659 |
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 |
5548a1 |
Quadratic twists by: -3 |