Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320v |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23270976000000 = 212 · 34 · 56 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22441,1265495] |
[a1,a2,a3,a4,a6] |
j |
305147442188224/5681390625 |
j-invariant |
L |
2.704151327367 |
L(r)(E,1)/r! |
Ω |
0.67603783445663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64320c2 32160r1 |
Quadratic twists by: -4 8 |