Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ef |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1885637698560000 = 213 · 314 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124347,-16747414] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:250:1] [-203:360:1] |
Generators of the group modulo torsion |
j |
71210194441849/631496250 |
j-invariant |
L |
9.9857153547 |
L(r)(E,1)/r! |
Ω |
0.25437423230583 |
Real period |
R |
2.4535001207146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930bm3 18480br3 |
Quadratic twists by: -4 -3 |