Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576cq |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
51554104085839872 = 222 · 3 · 114 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101729,6086145] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:4224:1] |
Generators of the group modulo torsion |
j |
444142553850073/196663299888 |
j-invariant |
L |
3.7111979307342 |
L(r)(E,1)/r! |
Ω |
0.31972449513998 |
Real period |
R |
1.450935878837 |
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 |
48576bh3 12144bd3 |
Quadratic twists by: -4 8 |