Atkin-Lehner |
2- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48776d |
Isogeny class |
Conductor |
48776 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
459840 |
Modular degree for the optimal curve |
Δ |
-42577995957812224 = -1 · 210 · 710 · 133 · 67 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4248,-9925760] |
[a1,a2,a3,a4,a6] |
j |
8277039745628/41580074177551 |
j-invariant |
L |
0.83611933933073 |
L(r)(E,1)/r! |
Ω |
0.16722386768634 |
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 |
97552a1 |
Quadratic twists by: -4 |