Atkin-Lehner |
2+ 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320h |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
24 |
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] |
j |
774351503748971569/902289000000 |
j-invariant |
L |
0.86119531900088 |
L(r)(E,1)/r! |
Ω |
0.14353255321577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cv3 2010j3 |
Quadratic twists by: -4 8 |