Atkin-Lehner |
2- 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576cf |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
16 |
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 |
[-24881752:-1857230427:68921] |
Generators of the group modulo torsion |
j |
154672654658139268432/87821582162841747 |
j-invariant |
L |
6.3124560682869 |
L(r)(E,1)/r! |
Ω |
0.12558002511373 |
Real period |
R |
12.566600585081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576bl2 12144bp2 |
Quadratic twists by: -4 8 |