Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576c |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4576247808 = 218 · 3 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5958657,-5596501503] |
[a1,a2,a3,a4,a6] |
Generators |
[-1425572152190191149875120:3374164112177609639:1011762318361069091375] |
Generators of the group modulo torsion |
j |
89254274298475942657/17457 |
j-invariant |
L |
6.365437471006 |
L(r)(E,1)/r! |
Ω |
0.0966301051053 |
Real period |
R |
32.937134157592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576dt6 759b5 |
Quadratic twists by: -4 8 |