Atkin-Lehner |
2- 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
23944f |
Isogeny class |
Conductor |
23944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
47888 = 24 · 41 · 73 |
Discriminant |
Eigenvalues |
2- 2 2 3 5 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,17] |
[a1,a2,a3,a4,a6] |
j |
12967168/2993 |
j-invariant |
L |
6.7347832481304 |
L(r)(E,1)/r! |
Ω |
3.3673916240652 |
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 |
47888f1 |
Quadratic twists by: -4 |