Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48216r |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
263424 |
Modular degree for the optimal curve |
Δ |
2373661792538064 = 24 · 37 · 79 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-245359,-46802134] |
[a1,a2,a3,a4,a6] |
j |
2530050082816/3676347 |
j-invariant |
L |
3.0034115264103 |
L(r)(E,1)/r! |
Ω |
0.21452939475718 |
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 |
96432c1 48216o1 |
Quadratic twists by: -4 -7 |