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 |
2.1341809921779E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1544385,-226835775] |
[a1,a2,a3,a4,a6] |
j |
1553999217964091569/814125439521000 |
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 |
64320cv4 2010j4 |
Quadratic twists by: -4 8 |