Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576bl |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
Δ |
1.438868802156E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2840337,252077103] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:26136:1] |
Generators of the group modulo torsion |
j |
154672654658139268432/87821582162841747 |
j-invariant |
L |
8.8003588392307 |
L(r)(E,1)/r! |
Ω |
0.13023949639568 |
Real period |
R |
0.51189836409631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576cf2 3036b2 |
Quadratic twists by: -4 8 |