Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048ct |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
10553647104 = 213 · 32 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10704,422676] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:858:1] |
Generators of the group modulo torsion |
j |
33116363266897/2576574 |
j-invariant |
L |
6.3500877794726 |
L(r)(E,1)/r! |
Ω |
1.2227973132098 |
Real period |
R |
1.2982707172463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006s2 |
Quadratic twists by: -4 |