Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
48216i |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-43201536 = -1 · 210 · 3 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 6 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,-288] |
[a1,a2,a3,a4,a6] |
j |
19652/123 |
j-invariant |
L |
4.0556558855884 |
L(r)(E,1)/r! |
Ω |
1.0139139714169 |
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 |
96432h1 48216b1 |
Quadratic twists by: -4 -7 |