Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576z |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
3497472 |
Modular degree for the optimal curve |
Δ |
-1.1925305557973E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 11+ -7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,735263,5248672127] |
[a1,a2,a3,a4,a6] |
j |
167691610314591623/45491430503743488 |
j-invariant |
L |
2.1642404370578 |
L(r)(E,1)/r! |
Ω |
0.09837456534704 |
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 |
48576cv1 1518b1 |
Quadratic twists by: -4 8 |