Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576c |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
164456617476096 = 218 · 34 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23937,-1277055] |
[a1,a2,a3,a4,a6] |
Generators |
[-157456:561085:2197] |
Generators of the group modulo torsion |
j |
5786435182177/627352209 |
j-invariant |
L |
6.365437471006 |
L(r)(E,1)/r! |
Ω |
0.3865204204212 |
Real period |
R |
8.2342835393979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48576dt2 759b2 |
Quadratic twists by: -4 8 |