Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320cv |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
236529647616000000 = 224 · 3 · 56 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1224385,520531775] |
[a1,a2,a3,a4,a6] |
Generators |
[610:1005:1] |
Generators of the group modulo torsion |
j |
774351503748971569/902289000000 |
j-invariant |
L |
8.2732709572562 |
L(r)(E,1)/r! |
Ω |
0.31208749563575 |
Real period |
R |
1.4727477733245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320h3 16080m3 |
Quadratic twists by: -4 8 |