Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048cm |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
541212672 = 214 · 3 · 7 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-364] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:24:1] |
Generators of the group modulo torsion |
j |
244140625/132132 |
j-invariant |
L |
7.339282541116 |
L(r)(E,1)/r! |
Ω |
1.3392955715138 |
Real period |
R |
2.7399786489283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006v1 |
Quadratic twists by: -4 |