Atkin-Lehner |
2- 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
47888i |
Isogeny class |
Conductor |
47888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
196149248 = 216 · 41 · 73 |
Discriminant |
Eigenvalues |
2- 0 2 0 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1019,-12502] |
[a1,a2,a3,a4,a6] |
j |
28568426193/47888 |
j-invariant |
L |
3.3803348726673 |
L(r)(E,1)/r! |
Ω |
0.84508371814349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5986c1 |
Quadratic twists by: -4 |