Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48552o |
Isogeny class |
Conductor |
48552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-6418185984 = -1 · 28 · 36 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-572,-6720] |
[a1,a2,a3,a4,a6] |
j |
-16484816/5103 |
j-invariant |
L |
2.882540126634 |
L(r)(E,1)/r! |
Ω |
0.48042335449046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104f1 48552j1 |
Quadratic twists by: -4 17 |