Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bf |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1930604544 = -1 · 212 · 34 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217,2375] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:60:1] |
Generators of the group modulo torsion |
j |
-277167808/471339 |
j-invariant |
L |
8.7050484339668 |
L(r)(E,1)/r! |
Ω |
1.3230921360095 |
Real period |
R |
1.6448303555436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576q2 24288g1 |
Quadratic twists by: -4 8 |