Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320cd |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2714326640640000 = 214 · 310 · 54 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87665,-9641775] |
[a1,a2,a3,a4,a6] |
j |
4547654246155984/165669350625 |
j-invariant |
L |
1.1123066338322 |
L(r)(E,1)/r! |
Ω |
0.2780766580214 |
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 |
64320bi2 16080h2 |
Quadratic twists by: -4 8 |