Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bh |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
85953871872 = 222 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1381729,-625608193] |
[a1,a2,a3,a4,a6] |
Generators |
[-15927239474086278:-1171322112401:23457514898376] |
Generators of the group modulo torsion |
j |
1112891236915770073/327888 |
j-invariant |
L |
6.2149572312209 |
L(r)(E,1)/r! |
Ω |
0.13924955318345 |
Real period |
R |
22.315896493427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576cq4 1518f3 |
Quadratic twists by: -4 8 |