Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63210ct |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
Δ |
105721038486000000 = 27 · 35 · 56 · 76 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8123025,8910275625] |
[a1,a2,a3,a4,a6] |
Generators |
[1590:3075:1] |
Generators of the group modulo torsion |
j |
503835593418244309249/898614000000 |
j-invariant |
L |
11.743014278469 |
L(r)(E,1)/r! |
Ω |
0.28671488961923 |
Real period |
R |
0.19503387384645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290k2 |
Quadratic twists by: -7 |