Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240ew |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
987240960000 = 212 · 36 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6948,-217728] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:63:1] [-48:72:1] |
Generators of the group modulo torsion |
j |
12422690496/330625 |
j-invariant |
L |
9.7923979268784 |
L(r)(E,1)/r! |
Ω |
0.52376937992549 |
Real period |
R |
4.6740026728352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240eh2 33120r1 7360t2 |
Quadratic twists by: -4 8 -3 |