Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448ba |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-66393663849216 = -1 · 28 · 36 · 115 · 472 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11+ -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5568,357932] |
[a1,a2,a3,a4,a6] |
j |
102294880256/355761659 |
j-invariant |
L |
1.75598527601 |
L(r)(E,1)/r! |
Ω |
0.43899632284261 |
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 |
18612i1 8272o1 |
Quadratic twists by: -4 -3 |