Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48312m |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-821599282944 = -1 · 28 · 314 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1041,41650] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:90:1] |
Generators of the group modulo torsion |
j |
668510768/4402431 |
j-invariant |
L |
7.486542838822 |
L(r)(E,1)/r! |
Ω |
0.64790284802679 |
Real period |
R |
2.8887598123757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96624l1 16104d1 |
Quadratic twists by: -4 -3 |