Atkin-Lehner |
2- 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64416d |
Isogeny class |
Conductor |
64416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1626850146848256 = 29 · 35 · 118 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162992,-25199100] |
[a1,a2,a3,a4,a6] |
Generators |
[-822787961426154273:-20071482061448350:3700212621453711] |
Generators of the group modulo torsion |
j |
935309363416246664/3177441693063 |
j-invariant |
L |
6.8157332751919 |
L(r)(E,1)/r! |
Ω |
0.23765473676707 |
Real period |
R |
28.679139191899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64416c4 128832t4 |
Quadratic twists by: -4 8 |